How many businesses do you know that are open at 2 am? Exactly... of course banks aren't either. Depositing out of working hours is what night safes are for, though of course you have to make arrangements for that first and get a key for the safe.
Do it like we do it were I live. Put the money in a deposit bag, grab your shotgun, Chamber a load, put selector on auto. Sling in front of chest. Walk down middle of street to bank and deposit money in outside box. Many do have a drop box.
Wait until bank operational hours. In the meantime put the money in a safe place.
Most close at 5:00 p.m.
Bitcoins.
no bank is open during the night, that is what they have night depositories for or atm machines that take deposits, use those
oh! i am very much willing to be a bank for you, you can deposit your money to me
Keep it under your mattress or go to the strip club
ATM's have a place where you can deposit money.
You go to the ATM and hope no one robs you.