2221992 has 64 divisors (see below), whose sum is σ = 6297600. Its totient is φ = 734832.

The previous prime is 2221991. The next prime is 2221997. The reversal of 2221992 is 2991222.

2221992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2221991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17433 + ... + 17559.

It is an arithmetic number, because the mean of its divisors is an integer number (98400).

2^2221992 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 2221992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148800).

2221992 is an abundant number, since it is smaller than the sum of its proper divisors (4075608).

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

2221992 is an equidigital number, since it uses as much as digits as its factorization.

2221992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2221992 is about 1490.6347641190. The cubic root of 2221992 is about 130.4910814357.

The spelling of 2221992 in words is "two million, two hundred twenty-one thousand, nine hundred ninety-two".