241009984 has 56 divisors (see below), whose sum is σ = 514258560. Its totient is φ = 111707136.

The previous prime is 241009943. The next prime is 241009987. The reversal of 241009984 is 489900142.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241009987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55044 + ... + 59260.

Almost surely, 2^241009984 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 241009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257129280).

241009984 is an abundant number, since it is smaller than the sum of its proper divisors (273248576).

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

241009984 is a wasteful number, since it uses less digits than its factorization.

241009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 241009984 is about 15524.4962559176. The cubic root of 241009984 is about 622.3170187390.

The spelling of 241009984 in words is "two hundred forty-one million, nine thousand, nine hundred eighty-four".