241680138240 has 240 divisors, whose sum is σ = 818858339712. Its totient is φ = 60655927296.

The previous prime is 241680138191. The next prime is 241680138241. The reversal of 241680138240 is 42831086142.

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

It is not an unprimeable number, because it can be changed into a prime (241680138241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4148997 + ... + 4206843.

Almost surely, 2^241680138240 is an apocalyptic number.

241680138240 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 241680138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409429169856).

241680138240 is an abundant number, since it is smaller than the sum of its proper divisors (577178201472).

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

241680138240 is an equidigital number, since it uses as much as digits as its factorization.

241680138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57900 (or 57874 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 241680138240 in words is "two hundred forty-one billion, six hundred eighty million, one hundred thirty-eight thousand, two hundred forty".