2217620160216 has 128 divisors (see below), whose sum is σ = 6292829822400. Its totient is φ = 723396925440.

The previous prime is 2217620160211. The next prime is 2217620160221. The reversal of 2217620160216 is 6120610267122.

It is a happy number.

2217620160216 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 620 + 1 + 6 + 0 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2217620160211) and next prime (2217620160221).

It is a super-4 number, since 4×2217620160216⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217620160211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168496 + ... + 3022848.

Almost surely, 2^{2217620160216} 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 2217620160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146414911200).

2217620160216 is an abundant number, since it is smaller than the sum of its proper divisors (4075209662184).

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

2217620160216 is a wasteful number, since it uses less digits than its factorization.

2217620160216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854626 (or 854616 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2217620160216 in words is "two trillion, two hundred seventeen billion, six hundred twenty million, one hundred sixty thousand, two hundred sixteen".