2661332616 has 48 divisors (see below), whose sum is σ = 7212720060. Its totient is φ = 886502400.

The previous prime is 2661332587. The next prime is 2661332629. The reversal of 2661332616 is 6162331662.

2661332616 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 3 + 32 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2634768900 + 26563716 = 51330^2 + 5154^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99916 + ... + 123716.

Almost surely, 2^2661332616 is an apocalyptic number.

It is an amenable number.

2661332616 is an abundant number, since it is smaller than the sum of its proper divisors (4551387444).

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

2661332616 is a wasteful number, since it uses less digits than its factorization.

2661332616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25366 (or 25359 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2661332616 is about 51588.1053732350. The cubic root of 2661332616 is about 1385.7973254864.

The spelling of 2661332616 in words is "two billion, six hundred sixty-one million, three hundred thirty-two thousand, six hundred sixteen".