2242413144 has 48 divisors (see below), whose sum is σ = 6100000920. Its totient is φ = 744172800.

The previous prime is 2242413133. The next prime is 2242413181. The reversal of 2242413144 is 4413142422.

2242413144 is a `hidden beast` number, since 2 + 242 + 413 + 1 + 4 + 4 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 52257 + ... + 84944.

Almost surely, 2^2242413144 is an apocalyptic number.

2242413144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242413144 is an abundant number, since it is smaller than the sum of its proper divisors (3857587776).

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

2242413144 is a wasteful number, since it uses less digits than its factorization.

2242413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137440 (or 137433 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2242413144 is about 47354.1248889682. The cubic root of 2242413144 is about 1308.8962098593.

Adding to 2242413144 its reverse (4413142422), we get a palindrome (6655555566).

The spelling of 2242413144 in words is "two billion, two hundred forty-two million, four hundred thirteen thousand, one hundred forty-four".