Question

what exactly is the euler number?

Answer 1

in which context? number theory?

Answer 2

We also have a mathematical constant by that name--its the exponential constant.

Answer 3

i mean the mathematical constant

Answer 4

The number e is a famous irrational number, and is one of the most important numbers in mathematics.

The first few digits are:

2.7182818284590452353602874713527 (and more ...)

It is often called Euler's number after Leonhard Euler

Answer 5

its an irrational and transcendental number.

Answer 6

and what are the uses?

Answer 7

what does it decribe?

Answer 8

its just a number. though it arises in many areas of mathematics.
For example we have the exponential function f(x)=e^x

Answer 9

and its derivative is also e?

Answer 10

"its just a number"

Blasphemy!

Answer 11

the derivative of the exponential function is itself.