241892874720 has 480 divisors, whose sum is σ = 987712820640. Its totient is φ = 55287429120.

The previous prime is 241892874703. The next prime is 241892874739. The reversal of 241892874720 is 27478298142.

241892874720 is a `hidden beast` number, since 2 + 4 + 1 + 8 + 92 + 87 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10360660 + ... + 10383980.

It is an arithmetic number, because the mean of its divisors is an integer number (2057735043).

Almost surely, 2^241892874720 is an apocalyptic number.

241892874720 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 241892874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493856410320).

241892874720 is an abundant number, since it is smaller than the sum of its proper divisors (745819945920).

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

241892874720 is an equidigital number, since it uses as much as digits as its factorization.

241892874720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23373 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 241892874720 in words is "two hundred forty-one billion, eight hundred ninety-two million, eight hundred seventy-four thousand, seven hundred twenty".