2556250560 has 336 divisors, whose sum is σ = 9414662400. Its totient is φ = 634355712.

The previous prime is 2556250549. The next prime is 2556250591. The reversal of 2556250560 is 650526552.

2556250560 is a `hidden beast` number, since 2 + 556 + 2 + 50 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5336401 + ... + 5336879.

Almost surely, 2^2556250560 is an apocalyptic number.

2556250560 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 2556250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707331200).

2556250560 is an abundant number, since it is smaller than the sum of its proper divisors (6858411840).

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

2556250560 is a wasteful number, since it uses less digits than its factorization.

2556250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2556250560 is about 50559.3765784350. The cubic root of 2556250560 is about 1367.3125714156.

It can be divided in two parts, 2556 and 250560, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 2556250560 in words is "two billion, five hundred fifty-six million, two hundred fifty thousand, five hundred sixty".