2242111140 has 144 divisors (see below), whose sum is σ = 6925791600. Its totient is φ = 587034624.

The previous prime is 2242111111. The next prime is 2242111159. The reversal of 2242111140 is 411112422.

It can be written as a sum of positive squares in 8 ways, for example, as 106007616 + 2136103524 = 10296^2 + 46218^2 .

It is a super-2 number, since 2×2242111140² = 10054124728224199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771056 + ... + 2771864.

It is an arithmetic number, because the mean of its divisors is an integer number (48095775).

Almost surely, 2^2242111140 is an apocalyptic number.

2242111140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462895800).

2242111140 is an abundant number, since it is smaller than the sum of its proper divisors (4683680460).

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

2242111140 is a wasteful number, since it uses less digits than its factorization.

2242111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2242111140 is about 47350.9359991965. The cubic root of 2242111140 is about 1308.8374473250.

Adding to 2242111140 its reverse (411112422), we get a palindrome (2653223562).

The spelling of 2242111140 in words is "two billion, two hundred forty-two million, one hundred eleven thousand, one hundred forty".