2430242144 has 24 divisors (see below), whose sum is σ = 5219498088. Its totient is φ = 1104655360.

The previous prime is 2430242131. The next prime is 2430242147. The reversal of 2430242144 is 4412420342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430242147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3451697 + ... + 3452400.

It is an arithmetic number, because the mean of its divisors is an integer number (217479087).

Almost surely, 2^2430242144 is an apocalyptic number.

It is an amenable number.

2430242144 is an abundant number, since it is smaller than the sum of its proper divisors (2789255944).

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

2430242144 is a wasteful number, since it uses less digits than its factorization.

2430242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6904118 (or 6904110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2430242144 is about 49297.4861833745. The cubic root of 2430242144 is about 1344.4660786679.

Adding to 2430242144 its reverse (4412420342), we get a palindrome (6842662486).

The spelling of 2430242144 in words is "two billion, four hundred thirty million, two hundred forty-two thousand, one hundred forty-four".