2664656064 has 252 divisors, whose sum is σ = 9354235800. Its totient is φ = 721115136.

The previous prime is 2664655991. The next prime is 2664656077. The reversal of 2664656064 is 4606564662.

2664656064 is a `hidden beast` number, since 26 + 6 + 4 + 6 + 560 + 64 = 666.

2664656064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 533772 + ... + 538740.

Almost surely, 2^2664656064 is an apocalyptic number.

2664656064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677117900).

2664656064 is an abundant number, since it is smaller than the sum of its proper divisors (6689579736).

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

2664656064 is a wasteful number, since it uses less digits than its factorization.

2664656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 2664656064 is about 51620.3067019172. The cubic root of 2664656064 is about 1386.3739425662.

The spelling of 2664656064 in words is "two billion, six hundred sixty-four million, six hundred fifty-six thousand, sixty-four".