241482250800 has 540 divisors, whose sum is σ = 976803183720. Its totient is φ = 55084216320.

The previous prime is 241482250783. The next prime is 241482250829. The reversal of 241482250800 is 8052284142.

241482250800 is a `hidden beast` number, since 2 + 4 + 148 + 2 + 2 + 508 + 0 + 0 = 666.

241482250800 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 107 ways as a sum of consecutive naturals, for example, 113424136 + ... + 113426264.

Almost surely, 2^241482250800 is an apocalyptic number.

241482250800 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 241482250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488401591860).

241482250800 is an abundant number, since it is smaller than the sum of its proper divisors (735320932920).

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

241482250800 is a wasteful number, since it uses less digits than its factorization.

241482250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 241482250800 in words is "two hundred forty-one billion, four hundred eighty-two million, two hundred fifty thousand, eight hundred".