2813686338 has 64 divisors (see below), whose sum is σ = 5850662400. Its totient is φ = 901512192.

The previous prime is 2813686321. The next prime is 2813686361. The reversal of 2813686338 is 8336863182.

2813686338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266338 + ... + 6266786.

It is an arithmetic number, because the mean of its divisors is an integer number (91416600).

Almost surely, 2^2813686338 is an apocalyptic number.

2813686338 is an abundant number, since it is smaller than the sum of its proper divisors (3036976062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2813686338 is a wasteful number, since it uses less digits than its factorization.

2813686338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its digits is 995328, while the sum is 48.

The square root of 2813686338 is about 53044.1923116942. The cubic root of 2813686338 is about 1411.7524841873.

The spelling of 2813686338 in words is "two billion, eight hundred thirteen million, six hundred eighty-six thousand, three hundred thirty-eight".