2556305120 has 24 divisors (see below), whose sum is σ = 6039271224. Its totient is φ = 1022521984.

The previous prime is 2556305119. The next prime is 2556305159. The reversal of 2556305120 is 215036552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7988294 + ... + 7988613.

It is an arithmetic number, because the mean of its divisors is an integer number (251636301).

Almost surely, 2^2556305120 is an apocalyptic number.

2556305120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2556305120 is an abundant number, since it is smaller than the sum of its proper divisors (3482966104).

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

2556305120 is a wasteful number, since it uses less digits than its factorization.

2556305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15976922 (or 15976914 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 2556305120 is about 50559.9161391710. The cubic root of 2556305120 is about 1367.3222992105.

The spelling of 2556305120 in words is "two billion, five hundred fifty-six million, three hundred five thousand, one hundred twenty".