2005534900 has 36 divisors (see below), whose sum is σ = 4400929260. Its totient is φ = 793196800.

The previous prime is 2005534889. The next prime is 2005534969. The reversal of 2005534900 is 94355002.

It can be written as a sum of positive squares in 6 ways, for example, as 771839524 + 1233695376 = 27782^2 + 35124^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103771 + ... + 121570.

It is an arithmetic number, because the mean of its divisors is an integer number (122248035).

Almost surely, 2^2005534900 is an apocalyptic number.

2005534900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005534900 is an abundant number, since it is smaller than the sum of its proper divisors (2395394360).

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

2005534900 is a wasteful number, since it uses less digits than its factorization.

2005534900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225444 (or 225437 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2005534900 is about 44783.1988585005. The cubic root of 2005534900 is about 1261.0822355482.

Adding to 2005534900 its reverse (94355002), we get a palindrome (2099889902).

The spelling of 2005534900 in words is "two billion, five million, five hundred thirty-four thousand, nine hundred".