241114320 has 240 divisors, whose sum is σ = 855778560. Its totient is φ = 63078912.

The previous prime is 241114309. The next prime is 241114339. The reversal of 241114320 is 23411142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×241114320² = 116272230618124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241114293 and 241114302.

It is a congruent number.

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, 1535682 + ... + 1535838.

It is an arithmetic number, because the mean of its divisors is an integer number (3565744).

Almost surely, 2^241114320 is an apocalyptic number.

241114320 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 241114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427889280).

241114320 is an abundant number, since it is smaller than the sum of its proper divisors (614664240).

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

241114320 is a wasteful number, since it uses less digits than its factorization.

241114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241114320 is about 15527.8562589947. The cubic root of 241114320 is about 622.4068085201.

Adding to 241114320 its reverse (23411142), we get a palindrome (264525462).

The spelling of 241114320 in words is "two hundred forty-one million, one hundred fourteen thousand, three hundred twenty".