242542956533024 has 72 divisors (see below), whose sum is σ = 584701770285360. Its totient is φ = 98476087602816.

The previous prime is 242542956532979. The next prime is 242542956533027. The reversal of 242542956533024 is 420335659245242.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (242542956533027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4070575682 + ... + 4070635265.

It is an arithmetic number, because the mean of its divisors is an integer number (8120857920630).

Almost surely, 2^{242542956533024} is an apocalyptic number.

It is an amenable number.

242542956533024 is an abundant number, since it is smaller than the sum of its proper divisors (342158813752336).

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

242542956533024 is a wasteful number, since it uses less digits than its factorization.

242542956533024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141210990 (or 8141210975 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 56.

The spelling of 242542956533024 in words is "two hundred forty-two trillion, five hundred forty-two billion, nine hundred fifty-six million, five hundred thirty-three thousand, twenty-four".