2553575600 has 30 divisors (see below), whose sum is σ = 6134966340. Its totient is φ = 1021430080.

The previous prime is 2553575581. The next prime is 2553575603. The reversal of 2553575600 is 65753552.

It is not an unprimeable number, because it can be changed into a prime (2553575603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3191570 + ... + 3192369.

It is an arithmetic number, because the mean of its divisors is an integer number (204498878).

Almost surely, 2^2553575600 is an apocalyptic number.

2553575600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553575600 is an abundant number, since it is smaller than the sum of its proper divisors (3581390740).

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

2553575600 is a wasteful number, since it uses less digits than its factorization.

2553575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383957 (or 6383946 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 38.

The square root of 2553575600 is about 50532.9160053128. The cubic root of 2553575600 is about 1366.8354686071.

The spelling of 2553575600 in words is "two billion, five hundred fifty-three million, five hundred seventy-five thousand, six hundred".