2553312960 has 504 divisors, whose sum is σ = 10244864448. Its totient is φ = 581222400.

The previous prime is 2553312959. The next prime is 2553312973. The reversal of 2553312960 is 692133552.

2553312960 is a `hidden beast` number, since 2 + 553 + 3 + 12 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5923945 + ... + 5924375.

It is an arithmetic number, because the mean of its divisors is an integer number (20327112).

Almost surely, 2^2553312960 is an apocalyptic number.

2553312960 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 2553312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122432224).

2553312960 is an abundant number, since it is smaller than the sum of its proper divisors (7691551488).

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

2553312960 is a wasteful number, since it uses less digits than its factorization.

2553312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2553312960 is about 50530.3172362889. The cubic root of 2553312960 is about 1366.7886064771.

It can be divided in two parts, 2553 and 312960, that added together give a palindrome (315513).

The spelling of 2553312960 in words is "two billion, five hundred fifty-three million, three hundred twelve thousand, nine hundred sixty".