205008940 has 24 divisors (see below), whose sum is σ = 431056080. Its totient is φ = 81901248.

The previous prime is 205008931. The next prime is 205008941. The reversal of 205008940 is 49800502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 205008899 and 205008908.

It is not an unprimeable number, because it can be changed into a prime (205008941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11214 + ... + 23146.

It is an arithmetic number, because the mean of its divisors is an integer number (17960670).

Almost surely, 2^205008940 is an apocalyptic number.

205008940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205008940 is an abundant number, since it is smaller than the sum of its proper divisors (226047140).

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

205008940 is a wasteful number, since it uses less digits than its factorization.

205008940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 205008940 is about 14318.1332582149. The cubic root of 205008940 is about 589.6454251789.

The spelling of 205008940 in words is "two hundred five million, eight thousand, nine hundred forty".