2597743445968 has 160 divisors (see below), whose sum is σ = 5774554190592. Its totient is φ = 1120590028800.

The previous prime is 2597743445939. The next prime is 2597743446167. The reversal of 2597743445968 is 8695443477952.

2597743445968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2597743445968² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2597743445968.

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, 270227530 + ... + 270237142.

Almost surely, 2^{2597743445968} 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 2597743445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887277095296).

2597743445968 is an abundant number, since it is smaller than the sum of its proper divisors (3176810744624).

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

2597743445968 is a wasteful number, since it uses less digits than its factorization.

2597743445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10167 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 73.

The spelling of 2597743445968 in words is "two trillion, five hundred ninety-seven billion, seven hundred forty-three million, four hundred forty-five thousand, nine hundred sixty-eight".