241531920 has 240 divisors, whose sum is σ = 981901440. Its totient is φ = 51941376.

The previous prime is 241531907. The next prime is 241531921. The reversal of 241531920 is 29135142.

241531920 is a `hidden beast` number, since 2 + 41 + 531 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241531921) 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 47 ways as a sum of consecutive naturals, for example, 84271 + ... + 87089.

It is an arithmetic number, because the mean of its divisors is an integer number (4091256).

Almost surely, 2^241531920 is an apocalyptic number.

241531920 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 241531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490950720).

241531920 is an abundant number, since it is smaller than the sum of its proper divisors (740369520).

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

241531920 is a wasteful number, since it uses less digits than its factorization.

241531920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 241531920 is about 15541.2972431519. The cubic root of 241531920 is about 622.7659288635.

The spelling of 241531920 in words is "two hundred forty-one million, five hundred thirty-one thousand, nine hundred twenty".