2556462400 has 84 divisors (see below), whose sum is σ = 6331184188. Its totient is φ = 1015971840.

The previous prime is 2556462383. The next prime is 2556462439. The reversal of 2556462400 is 42646552.

It can be written as a sum of positive squares in 6 ways, for example, as 71639296 + 2484823104 = 8464^2 + 49848^2 .

It is a super-2 number, since 2×2556462400² = 13071000005227520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246112 + ... + 256288.

Almost surely, 2^2556462400 is an apocalyptic number.

2556462400 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 2556462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165592094).

2556462400 is an abundant number, since it is smaller than the sum of its proper divisors (3774721788).

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

2556462400 is a wasteful number, since it uses less digits than its factorization.

2556462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2556462400 is about 50561.4714975741. The cubic root of 2556462400 is about 1367.3503407301.

The spelling of 2556462400 in words is "two billion, five hundred fifty-six million, four hundred sixty-two thousand, four hundred".