2280556800 has 486 divisors, whose sum is σ = 8724557478. Its totient is φ = 568197120.

The previous prime is 2280556777. The next prime is 2280556813. The reversal of 2280556800 is 86550822.

2280556800 is a `hidden beast` number, since 2 + 28 + 0 + 556 + 80 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 85821696 + 2194735104 = 9264^2 + 46848^2 .

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 53 ways as a sum of consecutive naturals, for example, 16646332 + ... + 16646468.

Almost surely, 2^2280556800 is an apocalyptic number.

2280556800 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 2280556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362278739).

2280556800 is an abundant number, since it is smaller than the sum of its proper divisors (6444000678).

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

2280556800 is a wasteful number, since it uses less digits than its factorization.

2280556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2280556800 is about 47755.1756357361. The cubic root of 2280556800 is about 1316.2760050922.

The spelling of 2280556800 in words is "two billion, two hundred eighty million, five hundred fifty-six thousand, eight hundred".