2221101792 has 216 divisors, whose sum is σ = 7913328696. Its totient is φ = 585736704.

The previous prime is 2221101781. The next prime is 2221101809. The reversal of 2221101792 is 2971011222.

It is a super-2 number, since 2×2221101792² = 9866586340851222528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177403 + ... + 189509.

It is an arithmetic number, because the mean of its divisors is an integer number (36635781).

Almost surely, 2^2221101792 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 2221101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956664348).

2221101792 is an abundant number, since it is smaller than the sum of its proper divisors (5692226904).

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

2221101792 is a wasteful number, since it uses less digits than its factorization.

2221101792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12150 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2221101792 is about 47128.5666236519. The cubic root of 2221101792 is about 1304.7365267189.

The spelling of 2221101792 in words is "two billion, two hundred twenty-one million, one hundred one thousand, seven hundred ninety-two".