241684368000 has 512 divisors, whose sum is σ = 841375641600. Its totient is φ = 61252505600.

The previous prime is 241684367989. The next prime is 241684368017. The reversal of 241684368000 is 863486142.

It is a super-2 number, since 2×241684368000² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 197615389 + ... + 197616611.

It is an arithmetic number, because the mean of its divisors is an integer number (1643311800).

Almost surely, 2^241684368000 is an apocalyptic number.

241684368000 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 241684368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687820800).

241684368000 is an abundant number, since it is smaller than the sum of its proper divisors (599691273600).

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

241684368000 is a wasteful number, since it uses less digits than its factorization.

241684368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 241684368000 in words is "two hundred forty-one billion, six hundred eighty-four million, three hundred sixty-eight thousand".