2552896800 has 216 divisors, whose sum is σ = 9532147716. Its totient is φ = 640696320.

The previous prime is 2552896793. The next prime is 2552896813. The reversal of 2552896800 is 86982552.

2552896800 is a `hidden beast` number, since 2 + 552 + 8 + 96 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2043401616 + 509495184 = 45204^2 + 22572^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 111972 + ... + 132828.

Almost surely, 2^2552896800 is an apocalyptic number.

2552896800 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 2552896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766073858).

2552896800 is an abundant number, since it is smaller than the sum of its proper divisors (6979250916).

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

2552896800 is a wasteful number, since it uses less digits than its factorization.

2552896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20900 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2552896800 is about 50526.1991446022. The cubic root of 2552896800 is about 1366.7143456167.

The spelling of 2552896800 in words is "two billion, five hundred fifty-two million, eight hundred ninety-six thousand, eight hundred".