242588516352 has 612 divisors, whose sum is σ = 820320960600. Its totient is φ = 63549997056.

The previous prime is 242588516311. The next prime is 242588516447. The reversal of 242588516352 is 253615885242.

It is a junction number, because it is equal to n+sod(n) for n = 242588516295 and 242588516304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1628110774 + ... + 1628110922.

Almost surely, 2^242588516352 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 242588516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410160480300).

242588516352 is an abundant number, since it is smaller than the sum of its proper divisors (577732444248).

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

242588516352 is an equidigital number, since it uses as much as digits as its factorization.

242588516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 174 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The spelling of 242588516352 in words is "two hundred forty-two billion, five hundred eighty-eight million, five hundred sixteen thousand, three hundred fifty-two".