241006080 has 160 divisors (see below), whose sum is σ = 880729344. Its totient is φ = 55074816.

The previous prime is 241006079. The next prime is 241006109. The reversal of 241006080 is 80600142.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 51519 + ... + 56001.

Almost surely, 2^241006080 is an apocalyptic number.

241006080 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 241006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440364672).

241006080 is an abundant number, since it is smaller than the sum of its proper divisors (639723264).

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

241006080 is an equidigital number, since it uses as much as digits as its factorization.

241006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 241006080 is about 15524.3705186394. The cubic root of 241006080 is about 622.3136585203.

The spelling of 241006080 in words is "two hundred forty-one million, six thousand, eighty".