2600975664 has 480 divisors, whose sum is σ = 9499392000. Its totient is φ = 676698624.

The previous prime is 2600975653. The next prime is 2600975669. The reversal of 2600975664 is 4665790062.

2600975664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2600975669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11663457 + ... + 11663679.

It is an arithmetic number, because the mean of its divisors is an integer number (19790400).

Almost surely, 2^2600975664 is an apocalyptic number.

2600975664 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 2600975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696000).

2600975664 is an abundant number, since it is smaller than the sum of its proper divisors (6898416336).

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

2600975664 is a wasteful number, since it uses less digits than its factorization.

2600975664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2600975664 is about 50999.7614112066. The cubic root of 2600975664 is about 1375.2408462294.

The spelling of 2600975664 in words is "two billion, six hundred million, nine hundred seventy-five thousand, six hundred sixty-four".