2442124314 has 96 divisors (see below), whose sum is σ = 6390558720. Its totient is φ = 658902816.

The previous prime is 2442124309. The next prime is 2442124343. The reversal of 2442124314 is 4134212442.

2442124314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223609 + ... + 234275.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320).

Almost surely, 2^2442124314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442124314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

2442124314 is an abundant number, since it is smaller than the sum of its proper divisors (3948434406).

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

2442124314 is a wasteful number, since it uses less digits than its factorization.

2442124314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10781 counting only the distinct ones).

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

The square root of 2442124314 is about 49417.8542027069. The cubic root of 2442124314 is about 1346.6536808728.

Adding to 2442124314 its reverse (4134212442), we get a palindrome (6576336756).

It can be divided in two parts, 2442 and 124314, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 2442124314 in words is "two billion, four hundred forty-two million, one hundred twenty-four thousand, three hundred fourteen".