241120320 has 224 divisors, whose sum is σ = 892747008. Its totient is φ = 53993472.

The previous prime is 241120301. The next prime is 241120343. The reversal of 241120320 is 23021142.

241120320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 241120320.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 355822 + ... + 356498.

Almost surely, 2^241120320 is an apocalyptic number.

241120320 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 241120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446373504).

241120320 is an abundant number, since it is smaller than the sum of its proper divisors (651626688).

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

241120320 is a wasteful number, since it uses less digits than its factorization.

241120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 241120320 is about 15528.0494589630. The cubic root of 241120320 is about 622.4119712300.

Adding to 241120320 its reverse (23021142), we get a palindrome (264141462).

The spelling of 241120320 in words is "two hundred forty-one million, one hundred twenty thousand, three hundred twenty".