241809264 has 60 divisors (see below), whose sum is σ = 679728816. Its totient is φ = 80246016.

The previous prime is 241809203. The next prime is 241809299. The reversal of 241809264 is 462908142.

241809264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 29949 + ... + 37155.

Almost surely, 2^241809264 is an apocalyptic number.

241809264 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 241809264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339864408).

241809264 is an abundant number, since it is smaller than the sum of its proper divisors (437919552).

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

241809264 is a wasteful number, since it uses less digits than its factorization.

241809264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 241809264 is about 15550.2174904404. The cubic root of 241809264 is about 623.0042056180.

The spelling of 241809264 in words is "two hundred forty-one million, eight hundred nine thousand, two hundred sixty-four".