2556748800 has 462 divisors, whose sum is σ = 9571473138. Its totient is φ = 676823040.

The previous prime is 2556748771. The next prime is 2556748801. The reversal of 2556748800 is 88476552.

2556748800 is a `hidden beast` number, since 2 + 5 + 567 + 4 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 215737344 + 2341011456 = 14688^2 + 48384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556748801) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662332 + ... + 18662468.

Almost surely, 2^2556748800 is an apocalyptic number.

2556748800 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 2556748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785736569).

2556748800 is an abundant number, since it is smaller than the sum of its proper divisors (7014724338).

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

2556748800 is an equidigital number, since it uses as much as digits as its factorization.

2556748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2556748800 is about 50564.3036143088. The cubic root of 2556748800 is about 1367.4014001569.

The spelling of 2556748800 in words is "two billion, five hundred fifty-six million, seven hundred forty-eight thousand, eight hundred".