242967840360 has 256 divisors, whose sum is σ = 842164439040. Its totient is φ = 54928419840.

The previous prime is 242967840347. The next prime is 242967840361. The reversal of 242967840360 is 63048769242.

242967840360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242967840361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68037375 + ... + 68040945.

It is an arithmetic number, because the mean of its divisors is an integer number (3289704840).

Almost surely, 2^242967840360 is an apocalyptic number.

242967840360 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 242967840360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421082219520).

242967840360 is an abundant number, since it is smaller than the sum of its proper divisors (599196598680).

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

242967840360 is a wasteful number, since it uses less digits than its factorization.

242967840360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 242967840360 in words is "two hundred forty-two billion, nine hundred sixty-seven million, eight hundred forty thousand, three hundred sixty".