241008568200 has 576 divisors, whose sum is σ = 897437024640. Its totient is φ = 57653207040.

The previous prime is 241008568127. The next prime is 241008568211. The reversal of 241008568200 is 2865800142.

241008568200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 311783014 + ... + 311783786.

It is an arithmetic number, because the mean of its divisors is an integer number (1558050390).

Almost surely, 2^241008568200 is an apocalyptic number.

241008568200 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 241008568200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448718512320).

241008568200 is an abundant number, since it is smaller than the sum of its proper divisors (656428456440).

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

241008568200 is a wasteful number, since it uses less digits than its factorization.

241008568200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 241008568200 in words is "two hundred forty-one billion, eight million, five hundred sixty-eight thousand, two hundred".