242688257280 has 1728 divisors, whose sum is σ = 1090974044160. Its totient is φ = 48504766464.

The previous prime is 242688257261. The next prime is 242688257311. The reversal of 242688257280 is 82752886242.

242688257280 is a `hidden beast` number, since 2 + 4 + 2 + 68 + 8 + 2 + 572 + 8 + 0 = 666.

242688257280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1355800231 + ... + 1355800409.

It is an arithmetic number, because the mean of its divisors is an integer number (631350720).

Almost surely, 2^242688257280 is an apocalyptic number.

242688257280 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 242688257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545487022080).

242688257280 is an abundant number, since it is smaller than the sum of its proper divisors (848285786880).

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

242688257280 is a wasteful number, since it uses less digits than its factorization.

242688257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 242688257280 in words is "two hundred forty-two billion, six hundred eighty-eight million, two hundred fifty-seven thousand, two hundred eighty".