2551412400 has 60 divisors (see below), whose sum is σ = 8173028232. Its totient is φ = 680376320.

The previous prime is 2551412393. The next prime is 2551412401. The reversal of 2551412400 is 42141552.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2551412401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061889 + ... + 1064288.

Almost surely, 2^2551412400 is an apocalyptic number.

2551412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551412400 is an abundant number, since it is smaller than the sum of its proper divisors (5621615832).

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

2551412400 is a wasteful number, since it uses less digits than its factorization.

2551412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126198 (or 2126187 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2551412400 is about 50511.5075997539. The cubic root of 2551412400 is about 1366.4493989996.

Adding to 2551412400 its reverse (42141552), we get a palindrome (2593553952).

The spelling of 2551412400 in words is "two billion, five hundred fifty-one million, four hundred twelve thousand, four hundred".