2556120060 has 144 divisors (see below), whose sum is σ = 8369446176. Its totient is φ = 627734016.

The previous prime is 2556120037. The next prime is 2556120101. The reversal of 2556120060 is 600216552.

2556120060 is a `hidden beast` number, since 25 + 561 + 20 + 0 + 60 = 666.

It is a super-2 number, since 2×2556120060² = 13067499522268807200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278982 + ... + 1280978.

It is an arithmetic number, because the mean of its divisors is an integer number (58121154).

Almost surely, 2^2556120060 is an apocalyptic number.

2556120060 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 2556120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184723088).

2556120060 is an abundant number, since it is smaller than the sum of its proper divisors (5813326116).

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

2556120060 is a wasteful number, since it uses less digits than its factorization.

2556120060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2556120060 is about 50558.0860001642. The cubic root of 2556120060 is about 1367.2893033096.

The spelling of 2556120060 in words is "two billion, five hundred fifty-six million, one hundred twenty thousand, sixty".