2430241344 has 84 divisors (see below), whose sum is σ = 6993378444. Its totient is φ = 806879232.

The previous prime is 2430241301. The next prime is 2430241351. The reversal of 2430241344 is 4431420342.

It is a happy number.

2430241344 is a `hidden beast` number, since 243 + 0 + 2 + 413 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1688223744 + 742017600 = 41088^2 + 27240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139824 + ... + 156240.

Almost surely, 2^2430241344 is an apocalyptic number.

2430241344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496689222).

2430241344 is an abundant number, since it is smaller than the sum of its proper divisors (4563137100).

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

2430241344 is a wasteful number, since it uses less digits than its factorization.

2430241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16692 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2430241344 is about 49297.4780693698. The cubic root of 2430241344 is about 1344.4659311418.

Adding to 2430241344 its reverse (4431420342), we get a palindrome (6861661686).

The spelling of 2430241344 in words is "two billion, four hundred thirty million, two hundred forty-one thousand, three hundred forty-four".