2556341744 has 80 divisors (see below), whose sum is σ = 5568393600. Its totient is φ = 1126836480.

The previous prime is 2556341737. The next prime is 2556341771. The reversal of 2556341744 is 4471436552.

It is a super-2 number, since 2×2556341744² = 13069766224233923072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126499 + ... + 1128765.

It is an arithmetic number, because the mean of its divisors is an integer number (69604920).

Almost surely, 2^2556341744 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 2556341744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784196800).

2556341744 is an abundant number, since it is smaller than the sum of its proper divisors (3012051856).

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

2556341744 is a wasteful number, since it uses less digits than its factorization.

2556341744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its digits is 403200, while the sum is 41.

The square root of 2556341744 is about 50560.2783220188. The cubic root of 2556341744 is about 1367.3288290221.

The spelling of 2556341744 in words is "two billion, five hundred fifty-six million, three hundred forty-one thousand, seven hundred forty-four".