2597920795440 has 1120 divisors, whose sum is σ = 9959325062400. Its totient is φ = 627295518720.

The previous prime is 2597920795391. The next prime is 2597920795471. The reversal of 2597920795440 is 445970297952.

2597920795440 is a `hidden beast` number, since 2 + 59 + 79 + 2 + 0 + 79 + 5 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3211273756 + ... + 3211274564.

It is an arithmetic number, because the mean of its divisors is an integer number (8892254520).

Almost surely, 2^{2597920795440} is an apocalyptic number.

2597920795440 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 2597920795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979662531200).

2597920795440 is an abundant number, since it is smaller than the sum of its proper divisors (7361404266960).

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

2597920795440 is a wasteful number, since it uses less digits than its factorization.

2597920795440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 2597920795440 in words is "two trillion, five hundred ninety-seven billion, nine hundred twenty million, seven hundred ninety-five thousand, four hundred forty".