How should I prepare my studies and schedule when my exam takes place at 2 A.M.?
First of all, my deepest apologies that your exam is at 2 a.m. That is unfair and I’m sorry you have to do that.
I suggest going to bed early the night before [if you can sleep] and getting up at least two hours before the recommended start time. Organize your notes before you go to bed and have everything set up, so you won’t have to worry about that when you get up.
Hope this helps, and good luck