I tried hard to not make this duplicate but if I have missed it please flag this question.
So people constantly ask and answer why e is very important, where it came from, and its derivations, etc. "Oh it's so special because it appears here and there, etc."
But what I really want to know is why e has the number 2.718... what is so special about that number? (not the constant!!) Out of all the numbers in the universe why this 2.718... has the property that makes everyone's life easier? (Not asking for the derivation that gives the number)
I don't know if I explained it well or not. Thanks in advance!
Edit: I guess my question is not very well put. The possible duplicate link asks for what is the meaning/origin/significance of e. What I am asking is exactly what the title says. Why did e had to be this number 2.718.. why couldn't any other number say 5.112.. satisfy all the properties and hence be the natural number instead? If you say it's because 5.112.. doesn't satisfy the equations, that is the point. Why 5.112... doesn't but 2.718... does?