2556347712 has 112 divisors (see below), whose sum is σ = 6881774400. Its totient is φ = 837365760.

The previous prime is 2556347707. The next prime is 2556347713. The reversal of 2556347712 is 2177436552.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556347713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3605214 + ... + 3605922.

Almost surely, 2^2556347712 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 2556347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440887200).

2556347712 is an abundant number, since it is smaller than the sum of its proper divisors (4325426688).

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

2556347712 is a wasteful number, since it uses less digits than its factorization.

2556347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 2556347712 is about 50560.3373406468. The cubic root of 2556347712 is about 1367.3298930702.

The spelling of 2556347712 in words is "two billion, five hundred fifty-six million, three hundred forty-seven thousand, seven hundred twelve".