2530288000 has 64 divisors (see below), whose sum is σ = 6290968320. Its totient is φ = 1012108800.

The previous prime is 2530287953. The next prime is 2530288003. The reversal of 2530288000 is 8820352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2530288000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530288003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63072 + ... + 95071.

It is an arithmetic number, because the mean of its divisors is an integer number (98296380).

Almost surely, 2^2530288000 is an apocalyptic number.

2530288000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530288000 is an abundant number, since it is smaller than the sum of its proper divisors (3760680320).

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

2530288000 is an equidigital number, since it uses as much as digits as its factorization.

2530288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158172 (or 158150 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2530288000 is about 50301.9681523497. The cubic root of 2530288000 is about 1362.6677738579.

The spelling of 2530288000 in words is "two billion, five hundred thirty million, two hundred eighty-eight thousand".