242530254020304 has 320 divisors, whose sum is σ = 713153419545600. Its totient is φ = 78898588876800.

The previous prime is 242530254020303. The next prime is 242530254020317. The reversal of 242530254020304 is 403020452035242.

242530254020304 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 302 + 5 + 40 + 2 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242530254020303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046938569 + ... + 1047170199.

It is an arithmetic number, because the mean of its divisors is an integer number (2228604436080).

Almost surely, 2^{242530254020304} is an apocalyptic number.

242530254020304 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 242530254020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356576709772800).

242530254020304 is an abundant number, since it is smaller than the sum of its proper divisors (470623165525296).

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

242530254020304 is a wasteful number, since it uses less digits than its factorization.

242530254020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232091 (or 232079 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 242530254020304 in words is "two hundred forty-two trillion, five hundred thirty billion, two hundred fifty-four million, twenty thousand, three hundred four".