241966080 has 264 divisors, whose sum is σ = 862196400. Its totient is φ = 62717952.

The previous prime is 241966069. The next prime is 241966093. The reversal of 241966080 is 80669142.

241966080 is a `hidden beast` number, since 2 + 41 + 9 + 6 + 608 + 0 = 666.

241966080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718676 + ... + 2718764.

Almost surely, 2^241966080 is an apocalyptic number.

241966080 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 241966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431098200).

241966080 is an abundant number, since it is smaller than the sum of its proper divisors (620230320).

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

241966080 is a wasteful number, since it uses less digits than its factorization.

241966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 241966080 is about 15555.2589178065. The cubic root of 241966080 is about 623.1388515704.

It can be divided in two parts, 24196 and 6080, that added together give a square (30276 = 174²).

The spelling of 241966080 in words is "two hundred forty-one million, nine hundred sixty-six thousand, eighty".