2525364864 has 384 divisors, whose sum is σ = 8425085760. Its totient is φ = 752716800.

The previous prime is 2525364859. The next prime is 2525364893. The reversal of 2525364864 is 4684635252.

2525364864 is a `hidden beast` number, since 2 + 52 + 536 + 4 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41399394 + ... + 41399454.

Almost surely, 2^2525364864 is an apocalyptic number.

2525364864 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 2525364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212542880).

2525364864 is an abundant number, since it is smaller than the sum of its proper divisors (5899720896).

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

2525364864 is an frugal number, since it uses more digits than its factorization.

2525364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 2525364864 is about 50253.0085069541. The cubic root of 2525364864 is about 1361.7834273044.

The spelling of 2525364864 in words is "two billion, five hundred twenty-five million, three hundred sixty-four thousand, eight hundred sixty-four".