241820160 has 240 divisors, whose sum is σ = 829071936. Its totient is φ = 60014592.

The previous prime is 241820153. The next prime is 241820171. The reversal of 241820160 is 61028142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241820160.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6535662 + ... + 6535698.

Almost surely, 2^241820160 is an apocalyptic number.

241820160 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 241820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414535968).

241820160 is an abundant number, since it is smaller than the sum of its proper divisors (587251776).

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

241820160 is an equidigital number, since it uses as much as digits as its factorization.

241820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 241820160 is about 15550.5678352914. The cubic root of 241820160 is about 623.0135630647.

It can be divided in two parts, 2418 and 20160, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 241820160 in words is "two hundred forty-one million, eight hundred twenty thousand, one hundred sixty".