2649238256 has 80 divisors (see below), whose sum is σ = 6263837184. Its totient is φ = 1060722432.

The previous prime is 2649238243. The next prime is 2649238259. The reversal of 2649238256 is 6528329462.

2649238256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2649238256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649238259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98810 + ... + 122726.

Almost surely, 2^2649238256 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 2649238256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131918592).

2649238256 is an abundant number, since it is smaller than the sum of its proper divisors (3614598928).

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

2649238256 is a wasteful number, since it uses less digits than its factorization.

2649238256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23998 (or 23992 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 47.

The square root of 2649238256 is about 51470.7514613882. The cubic root of 2649238256 is about 1383.6948969379.

The spelling of 2649238256 in words is "two billion, six hundred forty-nine million, two hundred thirty-eight thousand, two hundred fifty-six".