2555421264 has 480 divisors, whose sum is σ = 8866099200. Its totient is φ = 701395200.

The previous prime is 2555421263. The next prime is 2555421289. The reversal of 2555421264 is 4621245552.

2555421264 is a `hidden beast` number, since 2 + 55 + 542 + 1 + 2 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555421263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30788167 + ... + 30788249.

It is an arithmetic number, because the mean of its divisors is an integer number (18471040).

Almost surely, 2^2555421264 is an apocalyptic number.

2555421264 is a gapful number since it is divisible by the number (24) 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 2555421264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433049600).

2555421264 is an abundant number, since it is smaller than the sum of its proper divisors (6310677936).

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

2555421264 is a wasteful number, since it uses less digits than its factorization.

2555421264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 2555421264 is about 50551.1747044517. The cubic root of 2555421264 is about 1367.1646947421.

The spelling of 2555421264 in words is "two billion, five hundred fifty-five million, four hundred twenty-one thousand, two hundred sixty-four".