241950240 has 432 divisors, whose sum is σ = 1003871232. Its totient is φ = 54867456.

The previous prime is 241950197. The next prime is 241950253. The reversal of 241950240 is 42059142.

241950240 is a `hidden beast` number, since 2 + 419 + 5 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1905057 + ... + 1905183.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^241950240 is an apocalyptic number.

241950240 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 241950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

241950240 is an abundant number, since it is smaller than the sum of its proper divisors (761920992).

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

241950240 is a wasteful number, since it uses less digits than its factorization.

241950240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 241950240 is about 15554.7497569071. The cubic root of 241950240 is about 623.1252536109.

The spelling of 241950240 in words is "two hundred forty-one million, nine hundred fifty thousand, two hundred forty".