2579077324320 has 192 divisors, whose sum is σ = 9584184508416. Its totient is φ = 570487127040.

The previous prime is 2579077324277. The next prime is 2579077324339. The reversal of 2579077324320 is 234237709752.

It is a super-2 number, since 2×2579077324320² (a number of 26 digits) contains 22 as substring.

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, 12276204 + ... + 12484523.

It is an arithmetic number, because the mean of its divisors is an integer number (49917627648).

Almost surely, 2^{2579077324320} is an apocalyptic number.

2579077324320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579077324320 is an abundant number, since it is smaller than the sum of its proper divisors (7005107184096).

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

2579077324320 is a wasteful number, since it uses less digits than its factorization.

2579077324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24760783 (or 24760775 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 2579077324320 in words is "two trillion, five hundred seventy-nine billion, seventy-seven million, three hundred twenty-four thousand, three hundred twenty".