240215040 has 264 divisors, whose sum is σ = 898600248. Its totient is φ = 58982400.

The previous prime is 240215021. The next prime is 240215047. The reversal of 240215040 is 40512042.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 191102976 = 7008^2 + 13824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (240215047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598840 + ... + 599240.

Almost surely, 2^240215040 is an apocalyptic number.

240215040 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 240215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449300124).

240215040 is an abundant number, since it is smaller than the sum of its proper divisors (658385208).

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

240215040 is a wasteful number, since it uses less digits than its factorization.

240215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 424 counting only the distinct ones).

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

The square root of 240215040 is about 15498.8722170357. The cubic root of 240215040 is about 621.6320511392.

Adding to 240215040 its reverse (40512042), we get a palindrome (280727082).

The spelling of 240215040 in words is "two hundred forty million, two hundred fifteen thousand, forty".