241132560 has 80 divisors (see below), whose sum is σ = 763451136. Its totient is φ = 62930944.

The previous prime is 241132537. The next prime is 241132561. The reversal of 241132560 is 65231142.

241132560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×241132560² = 116289822984307200, 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 241132560.

It is not an unprimeable number, because it can be changed into a prime (241132561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592 + ... + 21968.

Almost surely, 2^241132560 is an apocalyptic number.

241132560 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 241132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381725568).

241132560 is an abundant number, since it is smaller than the sum of its proper divisors (522318576).

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

241132560 is a wasteful number, since it uses less digits than its factorization.

241132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21440 (or 21434 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 241132560 is about 15528.4435794448. The cubic root of 241132560 is about 622.4225028926.

The spelling of 241132560 in words is "two hundred forty-one million, one hundred thirty-two thousand, five hundred sixty".