242890883280 has 480 divisors, whose sum is σ = 860232941568. Its totient is φ = 63685440000.

The previous prime is 242890883239. The next prime is 242890883321. The reversal of 242890883280 is 82388098242.

242890883280 is a `hidden beast` number, since 2 + 4 + 289 + 0 + 8 + 83 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (242890883239) and next prime (242890883321).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323422905 + ... + 323423655.

Almost surely, 2^242890883280 is an apocalyptic number.

242890883280 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 242890883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430116470784).

242890883280 is an abundant number, since it is smaller than the sum of its proper divisors (617342058288).

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

242890883280 is a wasteful number, since it uses less digits than its factorization.

242890883280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 242890883280 in words is "two hundred forty-two billion, eight hundred ninety million, eight hundred eighty-three thousand, two hundred eighty".