2579696004834 has 96 divisors (see below), whose sum is σ = 6035797338480. Its totient is φ = 791578884096.

The previous prime is 2579696004829. The next prime is 2579696004869. The reversal of 2579696004834 is 4384006969752.

2579696004834 is a `hidden beast` number, since 2 + 5 + 7 + 96 + 9 + 60 + 0 + 483 + 4 = 666.

2579696004834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 324301775625 + 2255394229209 = 569475^2 + 1501797^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135272652 + ... + 135291720.

Almost surely, 2^{2579696004834} is an apocalyptic number.

2579696004834 is an abundant number, since it is smaller than the sum of its proper divisors (3456101333646).

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

2579696004834 is a wasteful number, since it uses less digits than its factorization.

2579696004834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20644 (or 20641 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 2579696004834 in words is "two trillion, five hundred seventy-nine billion, six hundred ninety-six million, four thousand, eight hundred thirty-four".