2172816576 has 196 divisors, whose sum is σ = 7389187152. Its totient is φ = 620711424.

The previous prime is 2172816559. The next prime is 2172816577. The reversal of 2172816576 is 6756182712.

2172816576 is a `hidden beast` number, since 2 + 1 + 72 + 8 + 1 + 6 + 576 = 666.

It is a super-2 number, since 2×2172816576² = 9442263745880727552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2172816577) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 323266 + ... + 329918.

Almost surely, 2^2172816576 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 2172816576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694593576).

2172816576 is an abundant number, since it is smaller than the sum of its proper divisors (5216370576).

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

2172816576 is an frugal number, since it uses more digits than its factorization.

2172816576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6665 counting only the distinct ones).

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

The square root of 2172816576 is about 46613.4806252440. The cubic root of 2172816576 is about 1295.2124845255.

The spelling of 2172816576 in words is "two billion, one hundred seventy-two million, eight hundred sixteen thousand, five hundred seventy-six".