2672636256 has 96 divisors (see below), whose sum is σ = 7830103680. Its totient is φ = 886889088.

The previous prime is 2672636237. The next prime is 2672636279. The reversal of 2672636256 is 6526362762.

It is a happy number.

2672636256 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 636 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189315 + ... + 202941.

It is an arithmetic number, because the mean of its divisors is an integer number (81563580).

Almost surely, 2^2672636256 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 2672636256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915051840).

2672636256 is an abundant number, since it is smaller than the sum of its proper divisors (5157467424).

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

2672636256 is a wasteful number, since it uses less digits than its factorization.

2672636256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13873 (or 13859 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2672636256 is about 51697.5459378876. The cubic root of 2672636256 is about 1387.7565480326.

The spelling of 2672636256 in words is "two billion, six hundred seventy-two million, six hundred thirty-six thousand, two hundred fifty-six".