2647712256 has 240 divisors, whose sum is σ = 8299754496. Its totient is φ = 747823104.

The previous prime is 2647712251. The next prime is 2647712293. The reversal of 2647712256 is 6522177462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2647712251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9558390 + ... + 9558666.

Almost surely, 2^2647712256 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 2647712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149877248).

2647712256 is an abundant number, since it is smaller than the sum of its proper divisors (5652042240).

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

2647712256 is a wasteful number, since it uses less digits than its factorization.

2647712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2647712256 is about 51455.9253730802. The cubic root of 2647712256 is about 1383.4291697414.

The spelling of 2647712256 in words is "two billion, six hundred forty-seven million, seven hundred twelve thousand, two hundred fifty-six".