2005200540 has 216 divisors, whose sum is σ = 7193414592. Its totient is φ = 450696960.

The previous prime is 2005200529. The next prime is 2005200599. The reversal of 2005200540 is 450025002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536157 + ... + 539883.

Almost surely, 2^2005200540 is an apocalyptic number.

2005200540 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 2005200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596707296).

2005200540 is an abundant number, since it is smaller than the sum of its proper divisors (5188214052).

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

2005200540 is a wasteful number, since it uses less digits than its factorization.

2005200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2005200540 is about 44779.4656064585. The cubic root of 2005200540 is about 1261.0121496921.

Adding to 2005200540 its reverse (450025002), we get a palindrome (2455225542).

The spelling of 2005200540 in words is "two billion, five million, two hundred thousand, five hundred forty".