2552647200 has 144 divisors (see below), whose sum is σ = 8352590400. Its totient is φ = 677125120.

The previous prime is 2552647183. The next prime is 2552647219. The reversal of 2552647200 is 27462552.

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 23 ways as a sum of consecutive naturals, for example, 470101 + ... + 475499.

It is an arithmetic number, because the mean of its divisors is an integer number (58004100).

Almost surely, 2^2552647200 is an apocalyptic number.

2552647200 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 2552647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176295200).

2552647200 is an abundant number, since it is smaller than the sum of its proper divisors (5799943200).

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

2552647200 is a wasteful number, since it uses less digits than its factorization.

2552647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2552647200 is about 50523.7290785231. The cubic root of 2552647200 is about 1366.6698023591.

The spelling of 2552647200 in words is "two billion, five hundred fifty-two million, six hundred forty-seven thousand, two hundred".