2217109088016 has 315 divisors, whose sum is σ = 6850113607173. Its totient is φ = 694705973760.

The previous prime is 2217109087997. The next prime is 2217109088023. The reversal of 2217109088016 is 6108809017122.

The square root of 2217109088016 is 1488996.

It is a perfect power (a square), and thus also a powerful number.

2217109088016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1726122992400 + 490986095616 = 1313820^2 + 700704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2733796251 + ... + 2733797061.

Almost surely, 2^{2217109088016} is an apocalyptic number.

2217109088016 is the 1488996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217109088016

2217109088016 is an abundant number, since it is smaller than the sum of its proper divisors (4633004519157).

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

2217109088016 is an frugal number, since it uses more digits than its factorization.

2217109088016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 2217109088016 in words is "two trillion, two hundred seventeen billion, one hundred nine million, eighty-eight thousand, sixteen".