2597873664 has 96 divisors (see below), whose sum is σ = 6947609760. Its totient is φ = 863256576.

The previous prime is 2597873653. The next prime is 2597873699. The reversal of 2597873664 is 4663787952.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3360382 + ... + 3361154.

It is an arithmetic number, because the mean of its divisors is an integer number (72370935).

Almost surely, 2^2597873664 is an apocalyptic number.

2597873664 is a gapful number since it is divisible by the number (24) 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 2597873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473804880).

2597873664 is an abundant number, since it is smaller than the sum of its proper divisors (4349736096).

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

2597873664 is an equidigital number, since it uses as much as digits as its factorization.

2597873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1325 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 2597873664 is about 50969.3404312828. The cubic root of 2597873664 is about 1374.6939111944.

The spelling of 2597873664 in words is "two billion, five hundred ninety-seven million, eight hundred seventy-three thousand, six hundred sixty-four".