2523725664 has 48 divisors (see below), whose sum is σ = 6628511232. Its totient is φ = 840768128.

The previous prime is 2523725663. The next prime is 2523725689. The reversal of 2523725664 is 4665273252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523725663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191677 + ... + 204419.

It is an arithmetic number, because the mean of its divisors is an integer number (138093984).

Almost surely, 2^2523725664 is an apocalyptic number.

2523725664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2523725664 is an abundant number, since it is smaller than the sum of its proper divisors (4104785568).

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

2523725664 is a wasteful number, since it uses less digits than its factorization.

2523725664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14819 (or 14811 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 2523725664 is about 50236.6963881981. The cubic root of 2523725664 is about 1361.4887215668.

The spelling of 2523725664 in words is "two billion, five hundred twenty-three million, seven hundred twenty-five thousand, six hundred sixty-four".