2125764864 has 288 divisors, whose sum is σ = 6769728000. Its totient is φ = 655589376.

The previous prime is 2125764791. The next prime is 2125764887. The reversal of 2125764864 is 4684675212.

2125764864 is a `hidden beast` number, since 2 + 12 + 576 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 9282702 + ... + 9282930.

It is an arithmetic number, because the mean of its divisors is an integer number (23506000).

Almost surely, 2^2125764864 is an apocalyptic number.

2125764864 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 2125764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384864000).

2125764864 is an abundant number, since it is smaller than the sum of its proper divisors (4643963136).

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

2125764864 is a wasteful number, since it uses less digits than its factorization.

2125764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2125764864 is about 46106.0176549656. The cubic root of 2125764864 is about 1285.7950262946.

The spelling of 2125764864 in words is "two billion, one hundred twenty-five million, seven hundred sixty-four thousand, eight hundred sixty-four".