2172165616 has 60 divisors (see below), whose sum is σ = 4484791080. Its totient is φ = 1018977280.

The previous prime is 2172165607. The next prime is 2172165631. The reversal of 2172165616 is 6165612712.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2131155 + ... + 2132173.

It is an arithmetic number, because the mean of its divisors is an integer number (74746518).

Almost surely, 2^2172165616 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 2172165616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242395540).

2172165616 is an abundant number, since it is smaller than the sum of its proper divisors (2312625464).

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

2172165616 is a wasteful number, since it uses less digits than its factorization.

2172165616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1499 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 2172165616 is about 46606.4975727634. The cubic root of 2172165616 is about 1295.0831262015.

The spelling of 2172165616 in words is "two billion, one hundred seventy-two million, one hundred sixty-five thousand, six hundred sixteen".