241071984 has 80 divisors (see below), whose sum is σ = 705088800. Its totient is φ = 78833664.

The previous prime is 241071979. The next prime is 241071989. The reversal of 241071984 is 489170142.

It is an interprime number because it is at equal distance from previous prime (241071979) and next prime (241071989).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241071989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17632 + ... + 28160.

It is an arithmetic number, because the mean of its divisors is an integer number (8813610).

Almost surely, 2^241071984 is an apocalyptic number.

241071984 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 241071984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352544400).

241071984 is an abundant number, since it is smaller than the sum of its proper divisors (464016816).

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

241071984 is a wasteful number, since it uses less digits than its factorization.

241071984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10599 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 241071984 is about 15526.4929716920. The cubic root of 241071984 is about 622.3703780044.

The spelling of 241071984 in words is "two hundred forty-one million, seventy-one thousand, nine hundred eighty-four".