205512240 has 40 divisors (see below), whose sum is σ = 637088688. Its totient is φ = 54803200.

The previous prime is 205512191. The next prime is 205512253. The reversal of 205512240 is 42215502.

It is a happy number.

205512240 is digitally balanced in base 3, 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 (40).

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, 427911 + ... + 428390.

Almost surely, 2^205512240 is an apocalyptic number.

205512240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205512240 is an abundant number, since it is smaller than the sum of its proper divisors (431576448).

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

205512240 is a wasteful number, since it uses less digits than its factorization.

205512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856317 (or 856311 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205512240 is about 14335.6980994997. The cubic root of 205512240 is about 590.1275602769.

Adding to 205512240 its reverse (42215502), we get a palindrome (247727742).

It can be divided in two parts, 20551 and 2240, that added together give a triangular number (22791 = T₂₁₃).

The spelling of 205512240 in words is "two hundred five million, five hundred twelve thousand, two hundred forty".