242488610560 has 144 divisors (see below), whose sum is σ = 664363740096. Its totient is φ = 83069927424.

The previous prime is 242488610543. The next prime is 242488610593. The reversal of 242488610560 is 65016884242.

242488610560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242488610560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11431324 + ... + 11452516.

It is an arithmetic number, because the mean of its divisors is an integer number (4613637084).

Almost surely, 2^242488610560 is an apocalyptic number.

242488610560 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 242488610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332181870048).

242488610560 is an abundant number, since it is smaller than the sum of its proper divisors (421875129536).

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

242488610560 is a wasteful number, since it uses less digits than its factorization.

242488610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22498 (or 22484 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 242488610560 in words is "two hundred forty-two billion, four hundred eighty-eight million, six hundred ten thousand, five hundred sixty".