205340240 has 80 divisors (see below), whose sum is σ = 553202688. Its totient is φ = 69424128.

The previous prime is 205340221. The next prime is 205340243. The reversal of 205340240 is 42043502.

205340240 is digitally balanced in base 2 and base 3, because in such bases 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 (80).

It is a super-2 number, since 2×205340240² = 84329228326515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205340243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38369 + ... + 43391.

Almost surely, 2^205340240 is an apocalyptic number.

205340240 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 205340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276601344).

205340240 is an abundant number, since it is smaller than the sum of its proper divisors (347862448).

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

205340240 is a wasteful number, since it uses less digits than its factorization.

205340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 205340240 is about 14329.6978335204. The cubic root of 205340240 is about 589.9628818935.

Adding to 205340240 its reverse (42043502), we get a palindrome (247383742).

The spelling of 205340240 in words is "two hundred five million, three hundred forty thousand, two hundred forty".