242580312 has 64 divisors (see below), whose sum is σ = 725676000. Its totient is φ = 74639232.

The previous prime is 242580253. The next prime is 242580319. The reversal of 242580312 is 213085242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242580319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40387 + ... + 46002.

Almost surely, 2^242580312 is an apocalyptic number.

It is an amenable number.

242580312 is an abundant number, since it is smaller than the sum of its proper divisors (483095688).

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

242580312 is a wasteful number, since it uses less digits than its factorization.

242580312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86417 (or 86407 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242580312 is about 15574.9899518427. The cubic root of 242580312 is about 623.6656863050.

The spelling of 242580312 in words is "two hundred forty-two million, five hundred eighty thousand, three hundred twelve".