2556406160 has 160 divisors (see below), whose sum is σ = 7433309952. Its totient is φ = 794327040.

The previous prime is 2556406133. The next prime is 2556406189. The reversal of 2556406160 is 616046552.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2556406160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775742 + ... + 3776418.

Almost surely, 2^2556406160 is an apocalyptic number.

2556406160 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 2556406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716654976).

2556406160 is an abundant number, since it is smaller than the sum of its proper divisors (4876903792).

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

2556406160 is a wasteful number, since it uses less digits than its factorization.

2556406160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 2556406160 is about 50560.9153398156. The cubic root of 2556406160 is about 1367.3403138081.

The spelling of 2556406160 in words is "two billion, five hundred fifty-six million, four hundred six thousand, one hundred sixty".