241845120 has 288 divisors, whose sum is σ = 920588760. Its totient is φ = 58460160.

The previous prime is 241845113. The next prime is 241845139. The reversal of 241845120 is 21548142.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 696787 + ... + 697133.

Almost surely, 2^241845120 is an apocalyptic number.

241845120 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 241845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460294380).

241845120 is an abundant number, since it is smaller than the sum of its proper divisors (678743640).

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

241845120 is a wasteful number, since it uses less digits than its factorization.

241845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 241845120 is about 15551.3703576244. The cubic root of 241845120 is about 623.0349975659.

The spelling of 241845120 in words is "two hundred forty-one million, eight hundred forty-five thousand, one hundred twenty".