2256408000 has 1008 divisors, whose sum is σ = 10413504192. Its totient is φ = 456192000.

The previous prime is 2256407987. The next prime is 2256408029. The reversal of 2256408000 is 8046522.

2256408000 is a `hidden beast` number, since 2 + 256 + 408 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60983982 + ... + 60984018.

Almost surely, 2^2256408000 is an apocalyptic number.

2256408000 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 2256408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206752096).

2256408000 is an abundant number, since it is smaller than the sum of its proper divisors (8157096192).

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

2256408000 is a wasteful number, since it uses less digits than its factorization.

2256408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2256408000 is about 47501.6631287790. The cubic root of 2256408000 is about 1311.6134966009.

The spelling of 2256408000 in words is "two billion, two hundred fifty-six million, four hundred eight thousand".