205037040 has 80 divisors (see below), whose sum is σ = 684518688. Its totient is φ = 50469888.

The previous prime is 205037039. The next prime is 205037059. The reversal of 205037040 is 40730502.

It is a happy number.

205037040 is digitally balanced in base 2, because in such base 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 junction number, because it is equal to n+sod(n) for n = 205036998 and 205037016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29739 + ... + 35978.

Almost surely, 2^205037040 is an apocalyptic number.

205037040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205037040 is an abundant number, since it is smaller than the sum of its proper divisors (479481648).

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

205037040 is a wasteful number, since it uses less digits than its factorization.

205037040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65746 (or 65740 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 205037040 is about 14319.1144977614. The cubic root of 205037040 is about 589.6723642959.

Adding to 205037040 its reverse (40730502), we get a palindrome (245767542).

The spelling of 205037040 in words is "two hundred five million, thirty-seven thousand, forty".