241884032 has 64 divisors (see below), whose sum is σ = 527674560. Its totient is φ = 109762560.

The previous prime is 241884029. The next prime is 241884053. The reversal of 241884032 is 230488142.

241884032 is digitally balanced in base 2, 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 241884032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100313 + ... + 102695.

It is an arithmetic number, because the mean of its divisors is an integer number (8244915).

Almost surely, 2^241884032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263837280).

241884032 is an abundant number, since it is smaller than the sum of its proper divisors (285790528).

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

241884032 is a wasteful number, since it uses less digits than its factorization.

241884032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 241884032 is about 15552.6213867631. The cubic root of 241884032 is about 623.0684104621.

The spelling of 241884032 in words is "two hundred forty-one million, eight hundred eighty-four thousand, thirty-two".