241216704 has 280 divisors, whose sum is σ = 786790400. Its totient is φ = 72783360.

The previous prime is 241216699. The next prime is 241216733. The reversal of 241216704 is 407612142.

It is a super-3 number, since 3×241216704³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053337 + ... + 3053415.

Almost surely, 2^241216704 is an apocalyptic number.

241216704 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 241216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393395200).

241216704 is an abundant number, since it is smaller than the sum of its proper divisors (545573696).

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

241216704 is a wasteful number, since it uses less digits than its factorization.

241216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 241216704 is about 15531.1526938602. The cubic root of 241216704 is about 622.4948932663.

Adding to 241216704 its reverse (407612142), we get a palindrome (648828846).

The spelling of 241216704 in words is "two hundred forty-one million, two hundred sixteen thousand, seven hundred four".