242884512 has 144 divisors (see below), whose sum is σ = 769827240. Its totient is φ = 72124416.

The previous prime is 242884501. The next prime is 242884513. The reversal of 242884512 is 215488242.

It can be written as a sum of positive squares in 4 ways, for example, as 202891536 + 39992976 = 14244^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242884513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107458 + ... + 109694.

Almost surely, 2^242884512 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 242884512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384913620).

242884512 is an abundant number, since it is smaller than the sum of its proper divisors (526942728).

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

242884512 is a wasteful number, since it uses less digits than its factorization.

242884512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2284 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 242884512 is about 15584.7525485649. The cubic root of 242884512 is about 623.9262733407.

The spelling of 242884512 in words is "two hundred forty-two million, eight hundred eighty-four thousand, five hundred twelve".