240021216 has 72 divisors (see below), whose sum is σ = 699242544. Its totient is φ = 78051840.

The previous prime is 240021179. The next prime is 240021289. The reversal of 240021216 is 612120042.

240021216 is digitally balanced in base 3, 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 (72).

It is a super-2 number, since 2×240021216² = 115220368260237312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1645 + ... + 21971.

It is an arithmetic number, because the mean of its divisors is an integer number (9711702).

Almost surely, 2^240021216 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 240021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349621272).

240021216 is an abundant number, since it is smaller than the sum of its proper divisors (459221328).

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

240021216 is a wasteful number, since it uses less digits than its factorization.

240021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 240021216 is about 15492.6181131531. The cubic root of 240021216 is about 621.4648126081.

Adding to 240021216 its reverse (612120042), we get a palindrome (852141258).

The spelling of 240021216 in words is "two hundred forty million, twenty-one thousand, two hundred sixteen".