241210884096 has 864 divisors, whose sum is σ = 903701292480. Its totient is φ = 63021514752.

The previous prime is 241210884041. The next prime is 241210884113. The reversal of 241210884096 is 690488012142.

241210884096 is a `hidden beast` number, since 2 + 412 + 108 + 8 + 40 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254307275 + ... + 2254307381.

It is an arithmetic number, because the mean of its divisors is an integer number (1045950570).

Almost surely, 2^241210884096 is an apocalyptic number.

241210884096 is a gapful number since it is divisible by the number (26) 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 241210884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451850646240).

241210884096 is an abundant number, since it is smaller than the sum of its proper divisors (662490408384).

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

241210884096 is an equidigital number, since it uses as much as digits as its factorization.

241210884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 241210884096 in words is "two hundred forty-one billion, two hundred ten million, eight hundred eighty-four thousand, ninety-six".