2263442112 has 168 divisors, whose sum is σ = 6757873200. Its totient is φ = 723437568.

The previous prime is 2263442099. The next prime is 2263442113. The reversal of 2263442112 is 2112443622.

2263442112 is a `hidden beast` number, since 2 + 2 + 634 + 4 + 21 + 1 + 2 = 666.

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 (2263442113) by changing a digit.

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, 2989638 + ... + 2990394.

Almost surely, 2^2263442112 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 2263442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378936600).

2263442112 is an abundant number, since it is smaller than the sum of its proper divisors (4494431088).

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

2263442112 is a wasteful number, since it uses less digits than its factorization.

2263442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2263442112 is about 47575.6462068567. The cubic root of 2263442112 is about 1312.9750213108.

Adding to 2263442112 its reverse (2112443622), we get a palindrome (4375885734).

It can be divided in two parts, 22634 and 42112, that added together give a palindrome (64746).

The spelling of 2263442112 in words is "two billion, two hundred sixty-three million, four hundred forty-two thousand, one hundred twelve".