241035264 has 120 divisors (see below), whose sum is σ = 720449730. Its totient is φ = 80289792.

The previous prime is 241035251. The next prime is 241035271. The reversal of 241035264 is 462530142.

241035264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 139428864 + 101606400 = 11808^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165162 + ... + 166614.

Almost surely, 2^241035264 is an apocalyptic number.

241035264 is a gapful number since it is divisible by the number (24) 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 241035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360224865).

241035264 is an abundant number, since it is smaller than the sum of its proper divisors (479414466).

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

241035264 is an equidigital number, since it uses as much as digits as its factorization.

241035264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 241035264 is about 15525.3104316790. The cubic root of 241035264 is about 622.3387766540.

The spelling of 241035264 in words is "two hundred forty-one million, thirty-five thousand, two hundred sixty-four".