2597997952 has 64 divisors (see below), whose sum is σ = 5702432400. Its totient is φ = 1169152000.

The previous prime is 2597997947. The next prime is 2597997977.

2597997952 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133074 + ... + 151342.

Almost surely, 2^2597997952 is an apocalyptic number.

2597997952 is a gapful number since it is divisible by the number (22) 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 2597997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851216200).

2597997952 is an abundant number, since it is smaller than the sum of its proper divisors (3104434448).

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

2597997952 is a wasteful number, since it uses less digits than its factorization.

2597997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395 (or 18383 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 64.

The square root of 2597997952 is about 50970.5596594740. The cubic root of 2597997952 is about 1374.7158336400.

The spelling of 2597997952 in words is "two billion, five hundred ninety-seven million, nine hundred ninety-seven thousand, nine hundred fifty-two".