242887680 has 352 divisors, whose sum is σ = 990420480. Its totient is φ = 55296000.

The previous prime is 242887679. The next prime is 242887691. The reversal of 242887680 is 86788242.

It is a happy number.

It is a super-3 number, since 3×242887680³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967555 + ... + 967805.

Almost surely, 2^242887680 is an apocalyptic number.

242887680 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 242887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

242887680 is an abundant number, since it is smaller than the sum of its proper divisors (747532800).

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

242887680 is a wasteful number, since it uses less digits than its factorization.

242887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 242887680 is about 15584.8541860359. The cubic root of 242887680 is about 623.9289860014.

The spelling of 242887680 in words is "two hundred forty-two million, eight hundred eighty-seven thousand, six hundred eighty".