2221152192 has 224 divisors, whose sum is σ = 7558064640. Its totient is φ = 634334976.

The previous prime is 2221152151. The next prime is 2221152209. The reversal of 2221152192 is 2912511222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 978643 + ... + 980909.

It is an arithmetic number, because the mean of its divisors is an integer number (33741360).

Almost surely, 2^2221152192 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 2221152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779032320).

2221152192 is an abundant number, since it is smaller than the sum of its proper divisors (5336912448).

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

2221152192 is an frugal number, since it uses more digits than its factorization.

2221152192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2279 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 2221152192 is about 47129.1013281603. The cubic root of 2221152192 is about 1304.7463954281.

The spelling of 2221152192 in words is "two billion, two hundred twenty-one million, one hundred fifty-two thousand, one hundred ninety-two".