205066240 has 208 divisors, whose sum is σ = 566161920. Its totient is φ = 70778880.

The previous prime is 205066237. The next prime is 205066261. The reversal of 205066240 is 42660502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6615025 + ... + 6615055.

Almost surely, 2^205066240 is an apocalyptic number.

205066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283080960).

205066240 is an abundant number, since it is smaller than the sum of its proper divisors (361095680).

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

205066240 is a wasteful number, since it uses less digits than its factorization.

205066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 205066240 is about 14320.1340775846. The cubic root of 205066240 is about 589.7003553616.

The spelling of 205066240 in words is "two hundred five million, sixty-six thousand, two hundred forty".