2661332256 has 72 divisors (see below), whose sum is σ = 8256188304. Its totient is φ = 806463360.

The previous prime is 2661332249. The next prime is 2661332273. The reversal of 2661332256 is 6522331662.

2661332256 is a `hidden beast` number, since 2 + 6 + 613 + 32 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2661332256.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 416866 + ... + 423201.

It is an arithmetic number, because the mean of its divisors is an integer number (114669282).

Almost surely, 2^2661332256 is an apocalyptic number.

It is an amenable number.

2661332256 is an abundant number, since it is smaller than the sum of its proper divisors (5594856048).

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

2661332256 is a wasteful number, since it uses less digits than its factorization.

2661332256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840094 (or 840083 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 2661332256 is about 51588.1018840585. The cubic root of 2661332256 is about 1385.7972630005.

The spelling of 2661332256 in words is "two billion, six hundred sixty-one million, three hundred thirty-two thousand, two hundred fifty-six".