242282560 has 112 divisors (see below), whose sum is σ = 627278400. Its totient is φ = 88602624.

The previous prime is 242282543. The next prime is 242282563. The reversal of 242282560 is 65282242.

It is not an unprimeable number, because it can be changed into a prime (242282563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 578031 + ... + 578449.

It is an arithmetic number, because the mean of its divisors is an integer number (5600700).

Almost surely, 2^242282560 is an apocalyptic number.

242282560 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 242282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313639200).

242282560 is an abundant number, since it is smaller than the sum of its proper divisors (384995840).

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

242282560 is a wasteful number, since it uses less digits than its factorization.

242282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 242282560 is about 15565.4283590269. The cubic root of 242282560 is about 623.4104117622.

The spelling of 242282560 in words is "two hundred forty-two million, two hundred eighty-two thousand, five hundred sixty".