2512230400 has 144 divisors (see below), whose sum is σ = 6291394200. Its totient is φ = 994836480.

The previous prime is 2512230367. The next prime is 2512230419. The reversal of 2512230400 is 40322152.

It is a super-2 number, since 2×2512230400² = 12622603165368320000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7116624 + ... + 7116976.

Almost surely, 2^2512230400 is an apocalyptic number.

2512230400 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 2512230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145697100).

2512230400 is an abundant number, since it is smaller than the sum of its proper divisors (3779163800).

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

2512230400 is a wasteful number, since it uses less digits than its factorization.

2512230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2512230400 is about 50122.1547820921. The cubic root of 2512230400 is about 1359.4184364682.

Adding to 2512230400 its reverse (40322152), we get a palindrome (2552552552).

The spelling of 2512230400 in words is "two billion, five hundred twelve million, two hundred thirty thousand, four hundred".