2216172160 has 128 divisors (see below), whose sum is σ = 5673240000. Its totient is φ = 825311232.

The previous prime is 2216172149. The next prime is 2216172163. The reversal of 2216172160 is 612716122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2216172160² = 9822838085518131200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2216172163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715896 + ... + 718984.

Almost surely, 2^2216172160 is an apocalyptic number.

2216172160 is a gapful number since it is divisible by the number (20) 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 2216172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836620000).

2216172160 is an abundant number, since it is smaller than the sum of its proper divisors (3457067840).

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

2216172160 is a wasteful number, since it uses less digits than its factorization.

2216172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2216172160 is about 47076.2377426234. The cubic root of 2216172160 is about 1303.7705443934.

Adding to 2216172160 its reverse (612716122), we get a palindrome (2828888282).

The spelling of 2216172160 in words is "two billion, two hundred sixteen million, one hundred seventy-two thousand, one hundred sixty".