241109568 has 224 divisors, whose sum is σ = 837509120. Its totient is φ = 66562560.

The previous prime is 241109551. The next prime is 241109573. The reversal of 241109568 is 865901142.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×241109568² = 116267647562293248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374655 + ... + 375297.

It is an arithmetic number, because the mean of its divisors is an integer number (3738880).

Almost surely, 2^241109568 is an apocalyptic number.

241109568 is a gapful number since it is divisible by the number (28) 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 241109568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418754560).

241109568 is an abundant number, since it is smaller than the sum of its proper divisors (596399552).

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

241109568 is a wasteful number, since it uses less digits than its factorization.

241109568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 241109568 is about 15527.7032429139. The cubic root of 241109568 is about 622.4027195930.

The spelling of 241109568 in words is "two hundred forty-one million, one hundred nine thousand, five hundred sixty-eight".