2525188320 has 72 divisors (see below), whose sum is σ = 8617210056. Its totient is φ = 673383168.

The previous prime is 2525188307. The next prime is 2525188387. The reversal of 2525188320 is 238815252.

2525188320 is a `hidden beast` number, since 2 + 5 + 251 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 875362 + ... + 878241.

It is an arithmetic number, because the mean of its divisors is an integer number (119683473).

Almost surely, 2^2525188320 is an apocalyptic number.

2525188320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2525188320 is an abundant number, since it is smaller than the sum of its proper divisors (6092021736).

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

2525188320 is a wasteful number, since it uses less digits than its factorization.

2525188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753624 (or 1753613 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2525188320 is about 50251.2519247033. The cubic root of 2525188320 is about 1361.7516932371.

The spelling of 2525188320 in words is "two billion, five hundred twenty-five million, one hundred eighty-eight thousand, three hundred twenty".