2553006160 has 80 divisors (see below), whose sum is σ = 6161962752. Its totient is φ = 983001600.

The previous prime is 2553006149. The next prime is 2553006173. The reversal of 2553006160 is 616003552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223795 + ... + 234925.

Almost surely, 2^2553006160 is an apocalyptic number.

2553006160 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 2553006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080981376).

2553006160 is an abundant number, since it is smaller than the sum of its proper divisors (3608956592).

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

2553006160 is a wasteful number, since it uses less digits than its factorization.

2553006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11252 (or 11246 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2553006160 is about 50527.2813438443. The cubic root of 2553006160 is about 1366.7338609305.

The spelling of 2553006160 in words is "two billion, five hundred fifty-three million, six thousand, one hundred sixty".