242528072924160 has 1056 divisors, whose sum is σ = 874745442514944. Its totient is φ = 62064672768000.

The previous prime is 242528072924153. The next prime is 242528072924173. The reversal of 242528072924160 is 61429270825242.

242528072924160 is a `hidden beast` number, since 2 + 4 + 2 + 528 + 0 + 72 + 9 + 2 + 41 + 6 + 0 = 666.

242528072924160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242528072924160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242528072924097 and 242528072924106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92532647650 + ... + 92532650270.

It is an arithmetic number, because the mean of its divisors is an integer number (828357426624).

Almost surely, 2^{242528072924160} is an apocalyptic number.

242528072924160 is a gapful number since it is divisible by the number (20) 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 242528072924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437372721257472).

242528072924160 is an abundant number, since it is smaller than the sum of its proper divisors (632217369590784).

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

242528072924160 is a wasteful number, since it uses less digits than its factorization.

242528072924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 242528072924160 in words is "two hundred forty-two trillion, five hundred twenty-eight billion, seventy-two million, nine hundred twenty-four thousand, one hundred sixty".