2579428656 has 480 divisors, whose sum is σ = 9220743168. Its totient is φ = 656916480.

The previous prime is 2579428589. The next prime is 2579428669. The reversal of 2579428656 is 6568249752.

2579428656 is a `hidden beast` number, since 2 + 579 + 4 + 2 + 8 + 65 + 6 = 666.

Its product of digits (7257600) is a multiple of the sum of its prime divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26592000 + ... + 26592096.

Almost surely, 2^2579428656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579428656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610371584).

2579428656 is an abundant number, since it is smaller than the sum of its proper divisors (6641314512).

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

2579428656 is a wasteful number, since it uses less digits than its factorization.

2579428656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2579428656 is about 50788.0759233897. The cubic root of 2579428656 is about 1371.4327200023.

The spelling of 2579428656 in words is "two billion, five hundred seventy-nine million, four hundred twenty-eight thousand, six hundred fifty-six".