241280160 has 96 divisors (see below), whose sum is σ = 829144512. Its totient is φ = 58490880.

The previous prime is 241280131. The next prime is 241280173. The reversal of 241280160 is 61082142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×241280160² = 116432231219251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241280160.

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 15 ways as a sum of consecutive naturals, for example, 17569 + ... + 28128.

It is an arithmetic number, because the mean of its divisors is an integer number (8636922).

Almost surely, 2^241280160 is an apocalyptic number.

241280160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241280160 is an abundant number, since it is smaller than the sum of its proper divisors (587864352).

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

241280160 is a wasteful number, since it uses less digits than its factorization.

241280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45726 (or 45718 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 241280160 is about 15533.1954214193. The cubic root of 241280160 is about 622.5494743021.

The spelling of 241280160 in words is "two hundred forty-one million, two hundred eighty thousand, one hundred sixty".