2656638976 has 96 divisors (see below), whose sum is σ = 5680584000. Its totient is φ = 1238409216.

The previous prime is 2656638973. The next prime is 2656638991. The reversal of 2656638976 is 6798366562.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2656638976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656638973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2606595 + ... + 2607613.

It is an arithmetic number, because the mean of its divisors is an integer number (59172750).

Almost surely, 2^2656638976 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 2656638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840292000).

2656638976 is an abundant number, since it is smaller than the sum of its proper divisors (3023945024).

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

2656638976 is a wasteful number, since it uses less digits than its factorization.

2656638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1107 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The square root of 2656638976 is about 51542.5938035718. The cubic root of 2656638976 is about 1384.9821622729.

The spelling of 2656638976 in words is "two billion, six hundred fifty-six million, six hundred thirty-eight thousand, nine hundred seventy-six".