241166880 has 144 divisors (see below), whose sum is σ = 827026200. Its totient is φ = 63995904.

The previous prime is 241166873. The next prime is 241166909. The reversal of 241166880 is 88661142.

It can be written as a sum of positive squares in 4 ways, for example, as 207014544 + 34152336 = 14388^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×241166880² = 116322928017868800, which contains 22 as substring.

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

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, 536896 + ... + 537344.

Almost surely, 2^241166880 is an apocalyptic number.

241166880 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 241166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413513100).

241166880 is an abundant number, since it is smaller than the sum of its proper divisors (585859320).

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

241166880 is a wasteful number, since it uses less digits than its factorization.

241166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 241166880 is about 15529.5486090227. The cubic root of 241166880 is about 622.4520309483.

The spelling of 241166880 in words is "two hundred forty-one million, one hundred sixty-six thousand, eight hundred eighty".