2442142330224 has 80 divisors (see below), whose sum is σ = 6325674130944. Its totient is φ = 811880179200.

The previous prime is 2442142330211. The next prime is 2442142330237. The reversal of 2442142330224 is 4220332412442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442142330211) and next prime (2442142330237).

It is a super-2 number, since 2×2442142330224² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 65417484 + ... + 65454804.

Almost surely, 2^{2442142330224} is an apocalyptic number.

2442142330224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442142330224 is an abundant number, since it is smaller than the sum of its proper divisors (3883531800720).

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

2442142330224 is a wasteful number, since it uses less digits than its factorization.

2442142330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40926 (or 40920 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2442142330224 its reverse (4220332412442), we get a palindrome (6662474742666).

The spelling of 2442142330224 in words is "two trillion, four hundred forty-two billion, one hundred forty-two million, three hundred thirty thousand, two hundred twenty-four".