2221768192 has 240 divisors, whose sum is σ = 5597856000. Its totient is φ = 875556864.

The previous prime is 2221768189. The next prime is 2221768201. The reversal of 2221768192 is 2918671222.

Its product of digits (48384) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28123609 + ... + 28123687.

It is an arithmetic number, because the mean of its divisors is an integer number (23324400).

Almost surely, 2^2221768192 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 2221768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798928000).

2221768192 is an abundant number, since it is smaller than the sum of its proper divisors (3376087808).

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

2221768192 is an equidigital number, since it uses as much as digits as its factorization.

2221768192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 2221768192 is about 47135.6361153639. The cubic root of 2221768192 is about 1304.8670009250.

It can be divided in two parts, 22217 and 68192, that added together give a palindrome (90409).

The spelling of 2221768192 in words is "two billion, two hundred twenty-one million, seven hundred sixty-eight thousand, one hundred ninety-two".