205054240 has 48 divisors (see below), whose sum is σ = 489275640. Its totient is φ = 81203200.

The previous prime is 205054219. The next prime is 205054249. The reversal of 205054240 is 42450502.

It can be written as a sum of positive squares in 4 ways, for example, as 174979984 + 30074256 = 13228^2 + 5484^2 .

It is not an unprimeable number, because it can be changed into a prime (205054249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9816 + ... + 22504.

Almost surely, 2^205054240 is an apocalyptic number.

205054240 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 205054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244637820).

205054240 is an abundant number, since it is smaller than the sum of its proper divisors (284221400).

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

205054240 is a wasteful number, since it uses less digits than its factorization.

205054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12805 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 205054240 is about 14319.7150809644. The cubic root of 205054240 is about 589.6888525055.

The spelling of 205054240 in words is "two hundred five million, fifty-four thousand, two hundred forty".