241204834000 has 80 divisors (see below), whose sum is σ = 628097455440. Its totient is φ = 89060236800.

The previous prime is 241204833937. The next prime is 241204834019. The reversal of 241204834000 is 438402142.

It is a happy number.

241204834000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 206021578816 + 35183255184 = 453896^2 + 187572^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 241204834000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4612555 + ... + 4664554.

It is an arithmetic number, because the mean of its divisors is an integer number (7851218193).

Almost surely, 2^241204834000 is an apocalyptic number.

241204834000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241204834000 is an abundant number, since it is smaller than the sum of its proper divisors (386892621440).

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

241204834000 is a wasteful number, since it uses less digits than its factorization.

241204834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277145 (or 9277129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 241204834000 in words is "two hundred forty-one billion, two hundred four million, eight hundred thirty-four thousand".