242875584 has 336 divisors, whose sum is σ = 869826048. Its totient is φ = 65691648.

The previous prime is 242875579. The next prime is 242875597. The reversal of 242875584 is 485578242.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503824 + ... + 2503920.

It is an arithmetic number, because the mean of its divisors is an integer number (2588768).

Almost surely, 2^242875584 is an apocalyptic number.

242875584 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 242875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434913024).

242875584 is an abundant number, since it is smaller than the sum of its proper divisors (626950464).

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

242875584 is an equidigital number, since it uses as much as digits as its factorization.

242875584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 242875584 is about 15584.4661121259. The cubic root of 242875584 is about 623.9186284426.

It can be divided in two parts, 242 and 875584, that added together give a triangular number (875826 = T₁₃₂₃).

The spelling of 242875584 in words is "two hundred forty-two million, eight hundred seventy-five thousand, five hundred eighty-four".