242027554310560 has 48 divisors (see below), whose sum is σ = 572390087027976. Its totient is φ = 96709436121088.

The previous prime is 242027554310539. The next prime is 242027554310587. The reversal of 242027554310560 is 65013455720242.

242027554310560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 163618583657104 + 78408970653456 = 12791348^2 + 8854884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242027554310560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793484569 + ... + 793789528.

Almost surely, 2^{242027554310560} is an apocalyptic number.

242027554310560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242027554310560 is an abundant number, since it is smaller than the sum of its proper divisors (330362532717416).

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

242027554310560 is a wasteful number, since it uses less digits than its factorization.

242027554310560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587275065 (or 1587275057 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 46.

The spelling of 242027554310560 in words is "two hundred forty-two trillion, twenty-seven billion, five hundred fifty-four million, three hundred ten thousand, five hundred sixty".