205875240 has 32 divisors (see below), whose sum is σ = 617626080. Its totient is φ = 54900032.

The previous prime is 205875233. The next prime is 205875259. The reversal of 205875240 is 42578502.

It is a super-2 number, since 2×205875240² = 84769228890115200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 857694 + ... + 857933.

It is an arithmetic number, because the mean of its divisors is an integer number (19300815).

Almost surely, 2^205875240 is an apocalyptic number.

205875240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205875240 is an abundant number, since it is smaller than the sum of its proper divisors (411750840).

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

205875240 is a wasteful number, since it uses less digits than its factorization.

205875240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715641 (or 1715637 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 205875240 is about 14348.3532156133. The cubic root of 205875240 is about 590.4748069150.

The spelling of 205875240 in words is "two hundred five million, eight hundred seventy-five thousand, two hundred forty".