2217321216 has 180 divisors, whose sum is σ = 7213451784. Its totient is φ = 671846400.

The previous prime is 2217321173. The next prime is 2217321217. The reversal of 2217321216 is 6121237122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2217321216.

It is not an unprimeable number, because it can be changed into a prime (2217321217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223236 + ... + 232956.

Almost surely, 2^2217321216 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 2217321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606725892).

2217321216 is an abundant number, since it is smaller than the sum of its proper divisors (4996130568).

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

2217321216 is an equidigital number, since it uses as much as digits as its factorization.

2217321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9737 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2217321216 is about 47088.4403649133. The cubic root of 2217321216 is about 1303.9958347314.

Adding to 2217321216 its reverse (6121237122), we get a palindrome (8338558338).

The spelling of 2217321216 in words is "two billion, two hundred seventeen million, three hundred twenty-one thousand, two hundred sixteen".