241089024 has 160 divisors (see below), whose sum is σ = 738524160. Its totient is φ = 69120000.

The previous prime is 241088999. The next prime is 241089029. The reversal of 241089024 is 420980142.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 241088982 and 241089000.

It is not an unprimeable number, because it can be changed into a prime (241089029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 320649 + ... + 321399.

It is an arithmetic number, because the mean of its divisors is an integer number (4615776).

Almost surely, 2^241089024 is an apocalyptic number.

241089024 is a gapful number since it is divisible by the number (24) 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 241089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369262080).

241089024 is an abundant number, since it is smaller than the sum of its proper divisors (497435136).

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

241089024 is a wasteful number, since it uses less digits than its factorization.

241089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 241089024 is about 15527.0417014961. The cubic root of 241089024 is about 622.3850415933.

The spelling of 241089024 in words is "two hundred forty-one million, eighty-nine thousand, twenty-four".