205241040 has 200 divisors, whose sum is σ = 750800160. Its totient is φ = 51819264.

The previous prime is 205240913. The next prime is 205241041. The reversal of 205241040 is 40142502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205241041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122287 + ... + 123953.

Almost surely, 2^205241040 is an apocalyptic number.

205241040 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 205241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375400080).

205241040 is an abundant number, since it is smaller than the sum of its proper divisors (545559120).

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

205241040 is a wasteful number, since it uses less digits than its factorization.

205241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1696 counting only the distinct ones).

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

The square root of 205241040 is about 14326.2360723255. The cubic root of 205241040 is about 589.8678627767.

Adding to 205241040 its reverse (40142502), we get a palindrome (245383542).

The spelling of 205241040 in words is "two hundred five million, two hundred forty-one thousand, forty".