2656646272 has 128 divisors (see below), whose sum is σ = 6427958400. Its totient is φ = 1068318720.

The previous prime is 2656646261. The next prime is 2656646273. The reversal of 2656646272 is 2726466562.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2656646273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1923022 + ... + 1924402.

It is an arithmetic number, because the mean of its divisors is an integer number (50218425).

Almost surely, 2^2656646272 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 2656646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213979200).

2656646272 is an abundant number, since it is smaller than the sum of its proper divisors (3771312128).

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

2656646272 is a wasteful number, since it uses less digits than its factorization.

2656646272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The square root of 2656646272 is about 51542.6645799380. The cubic root of 2656646272 is about 1384.9834301432.

The spelling of 2656646272 in words is "two billion, six hundred fifty-six million, six hundred forty-six thousand, two hundred seventy-two".