2556265320 has 576 divisors, whose sum is σ = 10563696000. Its totient is φ = 532417536.

The previous prime is 2556265319. The next prime is 2556265351. The reversal of 2556265320 is 235626552.

2556265320 is a `hidden beast` number, since 2 + 5 + 5 + 626 + 5 + 3 + 20 = 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 143 ways as a sum of consecutive naturals, for example, 9719509 + ... + 9719771.

It is an arithmetic number, because the mean of its divisors is an integer number (18339750).

Almost surely, 2^2556265320 is an apocalyptic number.

2556265320 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 2556265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281848000).

2556265320 is an abundant number, since it is smaller than the sum of its proper divisors (8007430680).

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

2556265320 is a wasteful number, since it uses less digits than its factorization.

2556265320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2556265320 is about 50559.5225452140. The cubic root of 2556265320 is about 1367.3152030688.

The spelling of 2556265320 in words is "two billion, five hundred fifty-six million, two hundred sixty-five thousand, three hundred twenty".