2201664456 has 64 divisors (see below), whose sum is σ = 6326640000. Its totient is φ = 708579648.

The previous prime is 2201664431. The next prime is 2201664461. The reversal of 2201664456 is 6544661022.

2201664456 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 6 + 644 + 5 + 6 = 666.

2201664456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2201664456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169476 + ... + 182003.

It is an arithmetic number, because the mean of its divisors is an integer number (98853750).

Almost surely, 2^2201664456 is an apocalyptic number.

It is an amenable number.

2201664456 is an abundant number, since it is smaller than the sum of its proper divisors (4124975544).

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

2201664456 is a wasteful number, since it uses less digits than its factorization.

2201664456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351523 (or 351513 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2201664456 is about 46921.8974040906. The cubic root of 2201664456 is about 1300.9193607197.

The spelling of 2201664456 in words is "two billion, two hundred one million, six hundred sixty-four thousand, four hundred fifty-six".