242582272 has 72 divisors (see below), whose sum is σ = 519870960. Its totient is φ = 112619520.

The previous prime is 242582267. The next prime is 242582273. The reversal of 242582272 is 272285242.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (242582273) 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 7 ways as a sum of consecutive naturals, for example, 257322 + ... + 258262.

It is an arithmetic number, because the mean of its divisors is an integer number (7220430).

Almost surely, 2^242582272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259935480).

242582272 is an abundant number, since it is smaller than the sum of its proper divisors (277288688).

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

242582272 is an equidigital number, since it uses as much as digits as its factorization.

242582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its digits is 35840, while the sum is 34.

The square root of 242582272 is about 15575.0528731045. The cubic root of 242582272 is about 623.6673659981.

The spelling of 242582272 in words is "two hundred forty-two million, five hundred eighty-two thousand, two hundred seventy-two".