242505984 has 144 divisors (see below), whose sum is σ = 748267520. Its totient is φ = 68290560.

The previous prime is 242505983. The next prime is 242506001. The reversal of 242505984 is 489505242.

It is not an unprimeable number, because it can be changed into a prime (242505983) 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, 424419 + ... + 424989.

Almost surely, 2^242505984 is an apocalyptic number.

242505984 is a gapful number since it is divisible by the number (24) 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 242505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374133760).

242505984 is an abundant number, since it is smaller than the sum of its proper divisors (505761536).

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

242505984 is an equidigital number, since it uses as much as digits as its factorization.

242505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 242505984 is about 15572.6036358728. The cubic root of 242505984 is about 623.6019815493.

The spelling of 242505984 in words is "two hundred forty-two million, five hundred five thousand, nine hundred eighty-four".