24345000242430 has 256 divisors, whose sum is σ = 74986296569856. Its totient is φ = 4927412920320.

The previous prime is 24345000242383. The next prime is 24345000242473. The reversal of 24345000242430 is 3424200054342.

It is a junction number, because it is equal to n+sod(n) for n = 24345000242391 and 24345000242400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2578444 + ... + 7438976.

It is an arithmetic number, because the mean of its divisors is an integer number (292915220976).

Almost surely, 2^{24345000242430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24345000242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37493148284928).

24345000242430 is an abundant number, since it is smaller than the sum of its proper divisors (50641296327426).

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

24345000242430 is a wasteful number, since it uses less digits than its factorization.

24345000242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860651.

The product of its (nonzero) digits is 92160, while the sum is 33.

Adding to 24345000242430 its reverse (3424200054342), we get a palindrome (27769200296772).

The spelling of 24345000242430 in words is "twenty-four trillion, three hundred forty-five billion, two hundred forty-two thousand, four hundred thirty".