2256604800 has 192 divisors, whose sum is σ = 7466367360. Its totient is φ = 599040000.

The previous prime is 2256604733. The next prime is 2256604807. The reversal of 2256604800 is 84066522.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2256604807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3004425 + ... + 3005175.

It is an arithmetic number, because the mean of its divisors is an integer number (38887330).

Almost surely, 2^2256604800 is an apocalyptic number.

2256604800 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 2256604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733183680).

2256604800 is an abundant number, since it is smaller than the sum of its proper divisors (5209762560).

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

2256604800 is a wasteful number, since it uses less digits than its factorization.

2256604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2256604800 is about 47503.7345900299. The cubic root of 2256604800 is about 1311.6516277119.

The spelling of 2256604800 in words is "two billion, two hundred fifty-six million, six hundred four thousand, eight hundred".