2556262800 has 1080 divisors, whose sum is σ = 12027660736. Its totient is φ = 507617280.

The previous prime is 2556262781. The next prime is 2556262811. The reversal of 2556262800 is 82626552.

2556262800 is a `hidden beast` number, since 2 + 5 + 5 + 626 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 150368392 + ... + 150368408.

Almost surely, 2^2556262800 is an apocalyptic number.

2556262800 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 2556262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013830368).

2556262800 is an abundant number, since it is smaller than the sum of its proper divisors (9471397936).

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

2556262800 is a wasteful number, since it uses less digits than its factorization.

2556262800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2556262800 is about 50559.4976240864. The cubic root of 2556262800 is about 1367.3147537628.

It can be divided in two parts, 2556 and 262800, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 2556262800 in words is "two billion, five hundred fifty-six million, two hundred sixty-two thousand, eight hundred".