2556540256 has 48 divisors (see below), whose sum is σ = 5130140400. Its totient is φ = 1253767680.

The previous prime is 2556540221. The next prime is 2556540263. The reversal of 2556540256 is 6520456552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773295 + ... + 776593.

It is an arithmetic number, because the mean of its divisors is an integer number (106877925).

Almost surely, 2^2556540256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565070200).

2556540256 is an abundant number, since it is smaller than the sum of its proper divisors (2573600144).

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

2556540256 is a wasteful number, since it uses less digits than its factorization.

2556540256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The square root of 2556540256 is about 50562.2414060136. The cubic root of 2556540256 is about 1367.3642212847.

The spelling of 2556540256 in words is "two billion, five hundred fifty-six million, five hundred forty thousand, two hundred fifty-six".