2579799832320 has 288 divisors, whose sum is σ = 8429641758720. Its totient is φ = 672228311040.

The previous prime is 2579799832301. The next prime is 2579799832339. The reversal of 2579799832320 is 232389979752.

It is an interprime number because it is at equal distance from previous prime (2579799832301) and next prime (2579799832339).

It is a congruent 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, 29382085 + ... + 29469755.

It is an arithmetic number, because the mean of its divisors is an integer number (29269589440).

Almost surely, 2^{2579799832320} is an apocalyptic number.

2579799832320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579799832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214820879360).

2579799832320 is an abundant number, since it is smaller than the sum of its proper divisors (5849841926400).

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

2579799832320 is an equidigital number, since it uses as much as digits as its factorization.

2579799832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87871 (or 87857 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 2579799832320 in words is "two trillion, five hundred seventy-nine billion, seven hundred ninety-nine million, eight hundred thirty-two thousand, three hundred twenty".