2579791872 has 256 divisors, whose sum is σ = 8254264320. Its totient is φ = 700710912.

The previous prime is 2579791859. The next prime is 2579791909. The reversal of 2579791872 is 2781979752.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×2579791872² = 13310652205674528768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15826863 + ... + 15827025.

It is an arithmetic number, because the mean of its divisors is an integer number (32243220).

Almost surely, 2^2579791872 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 2579791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127132160).

2579791872 is an abundant number, since it is smaller than the sum of its proper divisors (5674472448).

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

2579791872 is an equidigital number, since it uses as much as digits as its factorization.

2579791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 57.

The square root of 2579791872 is about 50791.6515974820. The cubic root of 2579791872 is about 1371.4970886403.

The spelling of 2579791872 in words is "two billion, five hundred seventy-nine million, seven hundred ninety-one thousand, eight hundred seventy-two".