2219861127168 has 936 divisors, whose sum is σ = 7277901787728. Its totient is φ = 674211299328.

The previous prime is 2219861127109. The next prime is 2219861127179. The reversal of 2219861127168 is 8617211689122.

2219861127168 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 8 + 611 + 2 + 7 + 16 + 8 = 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 71 ways as a sum of consecutive naturals, for example, 19644788680 + ... + 19644788792.

It is an arithmetic number, because the mean of its divisors is an integer number (7775536098).

Almost surely, 2^{2219861127168} 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 2219861127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638950893864).

2219861127168 is an abundant number, since it is smaller than the sum of its proper divisors (5058040660560).

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

2219861127168 is an frugal number, since it uses more digits than its factorization.

2219861127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 2219861127168 in words is "two trillion, two hundred nineteen billion, eight hundred sixty-one million, one hundred twenty-seven thousand, one hundred sixty-eight".