241256880 has 200 divisors, whose sum is σ = 865670784. Its totient is φ = 62208000.

The previous prime is 241256857. The next prime is 241256881. The reversal of 241256880 is 88652142.

241256880 is a `hidden beast` number, since 2 + 4 + 12 + 568 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241256881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200280 + ... + 201480.

Almost surely, 2^241256880 is an apocalyptic number.

241256880 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 241256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432835392).

241256880 is an abundant number, since it is smaller than the sum of its proper divisors (624413904).

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

241256880 is a wasteful number, since it uses less digits than its factorization.

241256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 241256880 is about 15532.4460404664. The cubic root of 241256880 is about 622.5294513574.

The spelling of 241256880 in words is "two hundred forty-one million, two hundred fifty-six thousand, eight hundred eighty".