241971120 has 240 divisors, whose sum is σ = 864444672. Its totient is φ = 60549120.

The previous prime is 241971113. The next prime is 241971131. The reversal of 241971120 is 21179142.

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

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, 825694 + ... + 825986.

Almost surely, 2^241971120 is an apocalyptic number.

241971120 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 241971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

241971120 is an abundant number, since it is smaller than the sum of its proper divisors (622473552).

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

241971120 is a wasteful number, since it uses less digits than its factorization.

241971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 241971120 is about 15555.4209200523. The cubic root of 241971120 is about 623.1431780694.

The spelling of 241971120 in words is "two hundred forty-one million, nine hundred seventy-one thousand, one hundred twenty".