2525752320 has 528 divisors, whose sum is σ = 10069274880. Its totient is φ = 529072128.

The previous prime is 2525752309. The next prime is 2525752343. The reversal of 2525752320 is 232575252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18170811 + ... + 18170949.

Almost surely, 2^2525752320 is an apocalyptic number.

2525752320 is a gapful number since it is divisible by the number (20) 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 2525752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034637440).

2525752320 is an abundant number, since it is smaller than the sum of its proper divisors (7543522560).

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

2525752320 is a wasteful number, since it uses less digits than its factorization.

2525752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 2525752320 is about 50256.8634118764. The cubic root of 2525752320 is about 1361.8530679579.

It can be divided in two parts, 25257 and 52320, that added together give a palindrome (77577).

The spelling of 2525752320 in words is "two billion, five hundred twenty-five million, seven hundred fifty-two thousand, three hundred twenty".