2163305664 has 448 divisors, whose sum is σ = 7373721600. Its totient is φ = 616771584.

The previous prime is 2163305653. The next prime is 2163305689. The reversal of 2163305664 is 4665033612.

2163305664 is a `hidden beast` number, since 2 + 1 + 63 + 30 + 566 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27383577 + ... + 27383655.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^2163305664 is an apocalyptic number.

2163305664 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 2163305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2163305664 is an abundant number, since it is smaller than the sum of its proper divisors (5210415936).

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

2163305664 is a wasteful number, since it uses less digits than its factorization.

2163305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2163305664 is about 46511.3498406572. The cubic root of 2163305664 is about 1293.3199072779.

The spelling of 2163305664 in words is "two billion, one hundred sixty-three million, three hundred five thousand, six hundred sixty-four".