2171568672 has 576 divisors, whose sum is σ = 8255520000. Its totient is φ = 536481792.

The previous prime is 2171568617. The next prime is 2171568701. The reversal of 2171568672 is 2768651712.

2171568672 is a `hidden beast` number, since 2 + 17 + 1 + 568 + 6 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24399604 + ... + 24399692.

It is an arithmetic number, because the mean of its divisors is an integer number (14332500).

Almost surely, 2^2171568672 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 2171568672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760000).

2171568672 is an abundant number, since it is smaller than the sum of its proper divisors (6083951328).

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

2171568672 is a wasteful number, since it uses less digits than its factorization.

2171568672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 2171568672 is about 46600.0930471174. The cubic root of 2171568672 is about 1294.9644791815.

The spelling of 2171568672 in words is "two billion, one hundred seventy-one million, five hundred sixty-eight thousand, six hundred seventy-two".