24120331242 has 288 divisors, whose sum is σ = 63570697344. Its totient is φ = 6067353600.

The previous prime is 24120331229. The next prime is 24120331259. The reversal of 24120331242 is 24213302142.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100084242 + ... + 100084482.

It is an arithmetic number, because the mean of its divisors is an integer number (220731588).

Almost surely, 2^24120331242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24120331242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785348672).

24120331242 is an abundant number, since it is smaller than the sum of its proper divisors (39450366102).

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

24120331242 is a wasteful number, since it uses less digits than its factorization.

24120331242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24120331242 its reverse (24213302142), we get a palindrome (48333633384).

The spelling of 24120331242 in words is "twenty-four billion, one hundred twenty million, three hundred thirty-one thousand, two hundred forty-two".