240215220 has 288 divisors, whose sum is σ = 904071168. Its totient is φ = 52348032.

The previous prime is 240215203. The next prime is 240215237. The reversal of 240215220 is 22512042.

It is an interprime number because it is at equal distance from previous prime (240215203) and next prime (240215237).

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

It is a junction number, because it is equal to n+sod(n) for n = 240215193 and 240215202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782307 + ... + 782613.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2^240215220 is an apocalyptic number.

240215220 is a gapful number since it is divisible by the number (20) 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 240215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035584).

240215220 is an abundant number, since it is smaller than the sum of its proper divisors (663855948).

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

240215220 is a wasteful number, since it uses less digits than its factorization.

240215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 240215220 is about 15498.8780239087. The cubic root of 240215220 is about 621.6322064081.

Adding to 240215220 its reverse (22512042), we get a palindrome (262727262).

It can be divided in two parts, 24021 and 5220, that added together give a square (29241 = 171²).

The spelling of 240215220 in words is "two hundred forty million, two hundred fifteen thousand, two hundred twenty".