242902080 has 336 divisors, whose sum is σ = 922446720. Its totient is φ = 58392576.

The previous prime is 242902067. The next prime is 242902123. The reversal of 242902080 is 80209242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258464 + ... + 1258656.

Almost surely, 2^242902080 is an apocalyptic number.

242902080 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 242902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461223360).

242902080 is an abundant number, since it is smaller than the sum of its proper divisors (679544640).

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

242902080 is a wasteful number, since it uses less digits than its factorization.

242902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 242902080 is about 15585.3161661867. The cubic root of 242902080 is about 623.9413159803.

The spelling of 242902080 in words is "two hundred forty-two million, nine hundred two thousand, eighty".