2553631520 has 48 divisors (see below), whose sum is σ = 6581409408. Its totient is φ = 928592640.

The previous prime is 2553631519. The next prime is 2553631543. The reversal of 2553631520 is 251363552.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723704 + ... + 727223.

It is an arithmetic number, because the mean of its divisors is an integer number (137112696).

Almost surely, 2^2553631520 is an apocalyptic number.

2553631520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553631520 is an abundant number, since it is smaller than the sum of its proper divisors (4027777888).

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

2553631520 is a wasteful number, since it uses less digits than its factorization.

2553631520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450953 (or 1450945 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 2553631520 is about 50533.4693050062. The cubic root of 2553631520 is about 1366.8454458434.

The spelling of 2553631520 in words is "two billion, five hundred fifty-three million, six hundred thirty-one thousand, five hundred twenty".