2442242124330 has 256 divisors, whose sum is σ = 6183530496000. Its totient is φ = 616807166976.

The previous prime is 2442242124317. The next prime is 2442242124379. The reversal of 2442242124330 is 334212422442.

It is a happy number.

It is a super-2 number, since 2×2442242124330² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442242124291 and 2442242124300.

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 127 ways as a sum of consecutive naturals, for example, 1709056056 + ... + 1709057484.

It is an arithmetic number, because the mean of its divisors is an integer number (24154416000).

Almost surely, 2^{2442242124330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442242124330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091765248000).

2442242124330 is an abundant number, since it is smaller than the sum of its proper divisors (3741288371670).

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

2442242124330 is a wasteful number, since it uses less digits than its factorization.

2442242124330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861.

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

Adding to 2442242124330 its reverse (334212422442), we get a palindrome (2776454546772).

The spelling of 2442242124330 in words is "two trillion, four hundred forty-two billion, two hundred forty-two million, one hundred twenty-four thousand, three hundred thirty".