242024011554304 has 160 divisors (see below), whose sum is σ = 555728057127936. Its totient is φ = 103149755842560.

The previous prime is 242024011554293. The next prime is 242024011554307. The reversal of 242024011554304 is 403455110420242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242024011554307) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 506334429 + ... + 506812195.

Almost surely, 2^{242024011554304} 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 242024011554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277864028563968).

242024011554304 is an abundant number, since it is smaller than the sum of its proper divisors (313704045573632).

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

242024011554304 is an equidigital number, since it uses as much as digits as its factorization.

242024011554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478576 (or 478560 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 242024011554304 its reverse (403455110420242), we get a palindrome (645479121974546).

The spelling of 242024011554304 in words is "two hundred forty-two trillion, twenty-four billion, eleven million, five hundred fifty-four thousand, three hundred four".