241345680 has 80 divisors (see below), whose sum is σ = 766450944. Its totient is φ = 62786560.

The previous prime is 241345679. The next prime is 241345691. The reversal of 241345680 is 86543142.

241345680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2424 + ... + 22103.

Almost surely, 2^241345680 is an apocalyptic number.

241345680 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 241345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383225472).

241345680 is an abundant number, since it is smaller than the sum of its proper divisors (525105264).

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

241345680 is a wasteful number, since it uses less digits than its factorization.

241345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24584 (or 24578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 241345680 is about 15535.3043098615. The cubic root of 241345680 is about 622.6058206257.

The spelling of 241345680 in words is "two hundred forty-one million, three hundred forty-five thousand, six hundred eighty".