2656746664 has 96 divisors (see below), whose sum is σ = 5995006920. Its totient is φ = 1096128000.

The previous prime is 2656746661. The next prime is 2656746691. The reversal of 2656746664 is 4666476562.

It can be written as a sum of positive squares in 4 ways, for example, as 652393764 + 2004352900 = 25542^2 + 44770^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2656746661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765894 + ... + 769354.

Almost surely, 2^2656746664 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 2656746664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997503460).

2656746664 is an abundant number, since it is smaller than the sum of its proper divisors (3338260256).

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

2656746664 is a wasteful number, since it uses less digits than its factorization.

2656746664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3548 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 52.

The square root of 2656746664 is about 51543.6384435558. The cubic root of 2656746664 is about 1385.0008756353. Note that the first 3 decimals are identical.

The spelling of 2656746664 in words is "two billion, six hundred fifty-six million, seven hundred forty-six thousand, six hundred sixty-four".