206542240 has 48 divisors (see below), whose sum is σ = 495264672. Its totient is φ = 81379584.

The previous prime is 206542229. The next prime is 206542241. The reversal of 206542240 is 42245602.

It is not an unprimeable number, because it can be changed into a prime (206542241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1087 + ... + 20353.

It is an arithmetic number, because the mean of its divisors is an integer number (10318014).

Almost surely, 2^206542240 is an apocalyptic number.

206542240 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 206542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247632336).

206542240 is an abundant number, since it is smaller than the sum of its proper divisors (288722432).

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

206542240 is a wasteful number, since it uses less digits than its factorization.

206542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19341 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 206542240 is about 14371.5775056185. The cubic root of 206542240 is about 591.1117980825. Note that the first 3 decimals are identical.

Adding to 206542240 its reverse (42245602), we get a palindrome (248787842).

The spelling of 206542240 in words is "two hundred six million, five hundred forty-two thousand, two hundred forty".