2217517668 has 96 divisors (see below), whose sum is σ = 6047032320. Its totient is φ = 701775360.

The previous prime is 2217517667. The next prime is 2217517703. The reversal of 2217517668 is 8667157122.

It is not an unprimeable number, because it can be changed into a prime (2217517661) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 171196 + ... + 183692.

It is an arithmetic number, because the mean of its divisors is an integer number (62989920).

Almost surely, 2^2217517668 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 2217517668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023516160).

2217517668 is an abundant number, since it is smaller than the sum of its proper divisors (3829514652).

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

2217517668 is a wasteful number, since it uses less digits than its factorization.

2217517668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12586 counting only the distinct ones).

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

The square root of 2217517668 is about 47090.5263083776. The cubic root of 2217517668 is about 1304.0343444164.

The spelling of 2217517668 in words is "two billion, two hundred seventeen million, five hundred seventeen thousand, six hundred sixty-eight".