2556172080 has 800 divisors, whose sum is σ = 11407841280. Its totient is φ = 515082240.

The previous prime is 2556172067. The next prime is 2556172081. The reversal of 2556172080 is 802716552.

It is a happy number.

2556172080 is a `hidden beast` number, since 2 + 556 + 1 + 7 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2556172081) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 23451066 + ... + 23451174.

Almost surely, 2^2556172080 is an apocalyptic number.

2556172080 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 2556172080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703920640).

2556172080 is an abundant number, since it is smaller than the sum of its proper divisors (8851669200).

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

2556172080 is a wasteful number, since it uses less digits than its factorization.

2556172080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2556172080 is about 50558.6004553132. The cubic root of 2556172080 is about 1367.2985785530.

The spelling of 2556172080 in words is "two billion, five hundred fifty-six million, one hundred seventy-two thousand, eighty".