242561220 has 288 divisors, whose sum is σ = 842849280. Its totient is φ = 51448320.

The previous prime is 242561183. The next prime is 242561257. The reversal of 242561220 is 22165242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242561183) and next prime (242561257).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8364166 + ... + 8364194.

It is an arithmetic number, because the mean of its divisors is an integer number (2926560).

Almost surely, 2^242561220 is an apocalyptic number.

242561220 is a gapful number since it is divisible by the number (20) 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 242561220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421424640).

242561220 is an abundant number, since it is smaller than the sum of its proper divisors (600288060).

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

242561220 is a wasteful number, since it uses less digits than its factorization.

242561220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 242561220 is about 15574.3770340903. The cubic root of 242561220 is about 623.6493242494.

The spelling of 242561220 in words is "two hundred forty-two million, five hundred sixty-one thousand, two hundred twenty".