2612117664 has 72 divisors (see below), whose sum is σ = 7999621812. Its totient is φ = 803727360.

The previous prime is 2612117657. The next prime is 2612117707. The reversal of 2612117664 is 4667112162.

It can be written as a sum of positive squares in 2 ways, for example, as 2612027664 + 90000 = 51108^2 + 300^2 .

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 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, 345097 + ... + 352584.

Almost surely, 2^2612117664 is an apocalyptic number.

2612117664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2612117664 is an abundant number, since it is smaller than the sum of its proper divisors (5387504148).

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

2612117664 is a wasteful number, since it uses less digits than its factorization.

2612117664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697710 (or 697699 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2612117664 is about 51108.8804807932. The cubic root of 2612117664 is about 1377.2017905568.

The spelling of 2612117664 in words is "two billion, six hundred twelve million, one hundred seventeen thousand, six hundred sixty-four".