2219164770816 has 960 divisors, whose sum is σ = 7771433429760. Its totient is φ = 619173642240.

The previous prime is 2219164770787. The next prime is 2219164770821. The reversal of 2219164770816 is 6180774619122.

2219164770816 is a `hidden beast` number, since 2 + 2 + 1 + 91 + 6 + 477 + 0 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9208152456 + ... + 9208152696.

It is an arithmetic number, because the mean of its divisors is an integer number (8095243156).

Almost surely, 2^{2219164770816} 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 2219164770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885716714880).

2219164770816 is an abundant number, since it is smaller than the sum of its proper divisors (5552268658944).

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

2219164770816 is an equidigital number, since it uses as much as digits as its factorization.

2219164770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2219164770816 in words is "two trillion, two hundred nineteen billion, one hundred sixty-four million, seven hundred seventy thousand, eight hundred sixteen".