2163977568 has 144 divisors (see below), whose sum is σ = 6395590656. Its totient is φ = 693308160.

The previous prime is 2163977561. The next prime is 2163977587. The reversal of 2163977568 is 8657793612.

2163977568 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 9 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163977561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454521 + ... + 1456007.

It is an arithmetic number, because the mean of its divisors is an integer number (44413824).

Almost surely, 2^2163977568 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 2163977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197795328).

2163977568 is an abundant number, since it is smaller than the sum of its proper divisors (4231613088).

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

2163977568 is a wasteful number, since it uses less digits than its factorization.

2163977568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1686 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 2163977568 is about 46518.5722910753. The cubic root of 2163977568 is about 1293.4537914044.

The spelling of 2163977568 in words is "two billion, one hundred sixty-three million, nine hundred seventy-seven thousand, five hundred sixty-eight".