2216667168 has 96 divisors (see below), whose sum is σ = 6475593600. Its totient is φ = 737710848.

The previous prime is 2216667133. The next prime is 2216667191. The reversal of 2216667168 is 8617666122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2216667168² = 9827226667378280448, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 666213 + ... + 669531.

It is an arithmetic number, because the mean of its divisors is an integer number (67454100).

Almost surely, 2^2216667168 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 2216667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237796800).

2216667168 is an abundant number, since it is smaller than the sum of its proper divisors (4258926432).

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

2216667168 is a wasteful number, since it uses less digits than its factorization.

2216667168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111 (or 4097 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2216667168 is about 47081.4949635204. The cubic root of 2216667168 is about 1303.8676079724.

The spelling of 2216667168 in words is "two billion, two hundred sixteen million, six hundred sixty-seven thousand, one hundred sixty-eight".