241889280 has 208 divisors, whose sum is σ = 805208064. Its totient is φ = 61931520.

The previous prime is 241889279. The next prime is 241889287. The reversal of 241889280 is 82988142.

241889280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241889287) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1904577 + ... + 1904703.

Almost surely, 2^241889280 is an apocalyptic number.

241889280 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 241889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402604032).

241889280 is an abundant number, since it is smaller than the sum of its proper divisors (563318784).

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

241889280 is a wasteful number, since it uses less digits than its factorization.

241889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 241889280 is about 15552.7901033866. The cubic root of 241889280 is about 623.0729165325.

The spelling of 241889280 in words is "two hundred forty-one million, eight hundred eighty-nine thousand, two hundred eighty".