2219074164216 has 640 divisors, whose sum is σ = 8239865356800. Its totient is φ = 541541790720.

The previous prime is 2219074164179. The next prime is 2219074164253. The reversal of 2219074164216 is 6124614709122.

2219074164216 is a `hidden beast` number, since 2 + 2 + 19 + 0 + 7 + 416 + 4 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (2219074164179) and next prime (2219074164253).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48153826 + ... + 48199886.

It is an arithmetic number, because the mean of its divisors is an integer number (12874789620).

Almost surely, 2^{2219074164216} is an apocalyptic number.

2219074164216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219074164216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119932678400).

2219074164216 is an abundant number, since it is smaller than the sum of its proper divisors (6020791192584).

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

2219074164216 is a wasteful number, since it uses less digits than its factorization.

2219074164216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46161 (or 46148 counting only the distinct ones).

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

The spelling of 2219074164216 in words is "two trillion, two hundred nineteen billion, seventy-four million, one hundred sixty-four thousand, two hundred sixteen".