242117880 has 64 divisors (see below), whose sum is σ = 732119040. Its totient is φ = 64052352.

The previous prime is 242117851. The next prime is 242117891. The reversal of 242117880 is 88711242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7297 + ... + 23183.

It is an arithmetic number, because the mean of its divisors is an integer number (11439360).

Almost surely, 2^242117880 is an apocalyptic number.

242117880 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 242117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366059520).

242117880 is an abundant number, since it is smaller than the sum of its proper divisors (490001160).

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

242117880 is a wasteful number, since it uses less digits than its factorization.

242117880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16024 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 242117880 is about 15560.1375315259. The cubic root of 242117880 is about 623.2691352632.

It can be divided in two parts, 2421 and 17880, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 242117880 in words is "two hundred forty-two million, one hundred seventeen thousand, eight hundred eighty".