2430344004 has 192 divisors, whose sum is σ = 6801822720. Its totient is φ = 667054080.

The previous prime is 2430343957. The next prime is 2430344011. The reversal of 2430344004 is 4004430342.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8587647 + ... + 8587929.

It is an arithmetic number, because the mean of its divisors is an integer number (35426160).

Almost surely, 2^2430344004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400911360).

2430344004 is an abundant number, since it is smaller than the sum of its proper divisors (4371478716).

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

2430344004 is a wasteful number, since it uses less digits than its factorization.

2430344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2430344004 is about 49298.5192881084. The cubic root of 2430344004 is about 1344.4848621736.

Adding to 2430344004 its reverse (4004430342), we get a palindrome (6434774346).

The spelling of 2430344004 in words is "two billion, four hundred thirty million, three hundred forty-four thousand, four".