
einladen
to invite
To ask someone to be a guest, for example at a celebration, a meal, or a visit.
Wir möchten euch herzlich zu unserer Hochzeit einladen.
We would like to warmly invite you to our wedding.
to invite / load
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to invite
To ask someone to be a guest, for example at a celebration, a meal, or a visit.
Wir möchten euch herzlich zu unserer Hochzeit einladen.
We would like to warmly invite you to our wedding.

to treat
To cover the costs for someone, usually for food, drinks, or an event.
Lass dein Geld stecken, ich lade dich heute zum Kaffee ein.
Keep your money, I'm treating you to coffee today.

to load
To load goods, cargo, or luggage into a vehicle or container.
Die Möbelpacker haben den ganzen Vormittag die Kisten in den LKW eingeladen.
The movers spent the whole morning loading the boxes into the truck.

to invite
To provoke or encourage a particular, often negative, reaction or action.
Die unübersichtliche Gestaltung der Webseite lädt zu Fehlern bei der Bedienung geradezu ein.
The confusing design of the website positively invites errors in its use.
'Einladen' (to invite / load) is a separable verb. The prefix 'ein-' goes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er lädt seine Freunde zum Geburtstag ein.
He invites his friends to his birthday.
The verb consists of the prefix 'ein-' and the verb 'laden' (to load). The literal meaning 'hineinladen' (to load into, e.g. boxes into a car) is still a main meaning of the word and helps in understanding the figurative meanings.
Hilfst du mir, die Einkäufe ins Auto einzuladen?
Will you help me load the groceries into the car?
The meaning of 'einladen' depends strongly on the object. If you invite a person, it usually means 'to ask them as a guest'. If you load a thing, it means 'to load it into a vehicle'.
Sie hat ihre Nachbarn zum Grillen eingeladen.
She invited her neighbors for a barbecue.
When you invite someone to an event or a meal, you use the preposition 'zu' (+ dative). With drinks or snacks, 'auf' (+ accusative) is also very common.
Ich lade dich herzlich zu meiner Feier ein.
I warmly invite you to my party.
The expression 'zu etwas einladen' can also be used figuratively. It then means that a situation encourages or practically provokes something, usually something negative.
Das unklare Schild am Eingang lädt zu Missverständnissen ein.
The unclear sign at the entrance invites misunderstandings.
to pay
When eating together, both words can fit, but they emphasize different things. Bezahlen directly refers to giving money for the bill, while einladen highlights the social gesture toward the other person. Use bezahlen for paying the bill and einladen when you are covering someone else’s costs.

Nach dem Essen lade ich meine Schwester auf ein Eis ein.
After the meal, I treat my sister to an ice cream.
Nach dem Essen bezahle ich die Rechnung an der Kasse.
After the meal, I pay the bill at the checkout.