205040264 has 96 divisors (see below), whose sum is σ = 481451040. Its totient is φ = 80870400.

The previous prime is 205040243. The next prime is 205040279. The reversal of 205040264 is 462040502.

It is a super-2 number, since 2×205040264² = 84083019722379392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252419 + ... + 253229.

It is an arithmetic number, because the mean of its divisors is an integer number (5015115).

Almost surely, 2^205040264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205040264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240725520).

205040264 is an abundant number, since it is smaller than the sum of its proper divisors (276410776).

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

205040264 is a wasteful number, since it uses less digits than its factorization.

205040264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 205040264 is about 14319.2270741126. The cubic root of 205040264 is about 589.6754549468.

Adding to 205040264 its reverse (462040502), we get a palindrome (667080766).

The spelling of 205040264 in words is "two hundred five million, forty thousand, two hundred sixty-four".