205035340 has 48 divisors (see below), whose sum is σ = 451459008. Its totient is φ = 78070784.

The previous prime is 205035331. The next prime is 205035349. The reversal of 205035340 is 43530502.

It is an interprime number because it is at equal distance from previous prime (205035331) and next prime (205035349).

It is not an unprimeable number, because it can be changed into a prime (205035349) 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 15 ways as a sum of consecutive naturals, for example, 106224 + ... + 108136.

It is an arithmetic number, because the mean of its divisors is an integer number (9405396).

Almost surely, 2^205035340 is an apocalyptic number.

205035340 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 205035340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225729504).

205035340 is an abundant number, since it is smaller than the sum of its proper divisors (246423668).

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

205035340 is a wasteful number, since it uses less digits than its factorization.

205035340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 205035340 is about 14319.0551364257. The cubic root of 205035340 is about 589.6707345972.

Adding to 205035340 its reverse (43530502), we get a palindrome (248565842).

The spelling of 205035340 in words is "two hundred five million, thirty-five thousand, three hundred forty".