2442241432224 has 72 divisors (see below), whose sum is σ = 7576498998432. Its totient is φ = 740073160320.

The previous prime is 2442241432207. The next prime is 2442241432243. The reversal of 2442241432224 is 4222341422442.

2442241432224 is a `hidden beast` number, since 2 + 4 + 422 + 4 + 1 + 4 + 3 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385451604 + ... + 385457939.

It is an arithmetic number, because the mean of its divisors is an integer number (105229152756).

Almost surely, 2^{2442241432224} is an apocalyptic number.

2442241432224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442241432224 is an abundant number, since it is smaller than the sum of its proper divisors (5134257566208).

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

2442241432224 is a wasteful number, since it uses less digits than its factorization.

2442241432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770909570 (or 770909559 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 2442241432224 its reverse (4222341422442), we get a palindrome (6664582854666).

The spelling of 2442241432224 in words is "two trillion, four hundred forty-two billion, two hundred forty-one million, four hundred thirty-two thousand, two hundred twenty-four".