2655564800 has 396 divisors, whose sum is σ = 8029848780. Its totient is φ = 867041280.

The previous prime is 2655564799. The next prime is 2655564827. The reversal of 2655564800 is 84655562.

It can be written as a sum of positive squares in 6 ways, for example, as 24285184 + 2631279616 = 4928^2 + 51296^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36377564 + ... + 36377636.

Almost surely, 2^2655564800 is an apocalyptic number.

2655564800 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 2655564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014924390).

2655564800 is an abundant number, since it is smaller than the sum of its proper divisors (5374283980).

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

2655564800 is a wasteful number, since it uses less digits than its factorization.

2655564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 2655564800 is about 51532.1724750665. The cubic root of 2655564800 is about 1384.7954708469.

The spelling of 2655564800 in words is "two billion, six hundred fifty-five million, five hundred sixty-four thousand, eight hundred".