2442131113224 has 64 divisors (see below), whose sum is σ = 6725021322240. Its totient is φ = 732854871360.

The previous prime is 2442131113207. The next prime is 2442131113243. The reversal of 2442131113224 is 4223111312442.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2442131113191 and 2442131113200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44878132 + ... + 44932515.

It is an arithmetic number, because the mean of its divisors is an integer number (105078458160).

Almost surely, 2^{2442131113224} is an apocalyptic number.

2442131113224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442131113224 is an abundant number, since it is smaller than the sum of its proper divisors (4282890209016).

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

2442131113224 is a wasteful number, since it uses less digits than its factorization.

2442131113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89810770 (or 89810766 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2442131113224 its reverse (4223111312442), we get a palindrome (6665242425666).

The spelling of 2442131113224 in words is "two trillion, four hundred forty-two billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred twenty-four".