241000000000 has 200 divisors, whose sum is σ = 604409117796. Its totient is φ = 96000000000.

The previous prime is 240999999997. The next prime is 241000000027. The reversal of 241000000000 is 142.

It can be written as a sum of positive squares in 10 ways, for example, as 184295055616 + 56704944384 = 429296^2 + 238128^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 241000000000.

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 19 ways as a sum of consecutive naturals, for example, 999999880 + ... + 1000000120.

Almost surely, 2^241000000000 is an apocalyptic number.

241000000000 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 241000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302204558898).

241000000000 is an abundant number, since it is smaller than the sum of its proper divisors (363409117796).

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

241000000000 is an frugal number, since it uses more digits than its factorization.

241000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 241000000000 its reverse (142), we get a palindrome (241000000142).

The spelling of 241000000000 in words is "two hundred forty-one billion", and thus it is an aban number.