241920000 has 480 divisors, whose sum is σ = 1023422400. Its totient is φ = 55296000.

The previous prime is 241919987. The next prime is 241920031. The reversal of 241920000 is 29142.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559997 + ... + 34560003.

It is an arithmetic number, because the mean of its divisors is an integer number (2132130).

Almost surely, 2^241920000 is an apocalyptic number.

241920000 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 241920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511711200).

241920000 is an abundant number, since it is smaller than the sum of its proper divisors (781502400).

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

241920000 is an frugal number, since it uses more digits than its factorization.

241920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 241920000 is about 15553.7776761789. Note that the first 3 decimals coincide. The cubic root of 241920000 is about 623.0992922221.

Adding to 241920000 its reverse (29142), we get a palindrome (241949142).

The spelling of 241920000 in words is "two hundred forty-one million, nine hundred twenty thousand".