2005324040 has 64 divisors (see below), whose sum is σ = 4553498160. Its totient is φ = 794787840.

The previous prime is 2005323979. The next prime is 2005324051. The reversal of 2005324040 is 404235002.

It can be written as a sum of positive squares in 8 ways, for example, as 14915044 + 1990408996 = 3862^2 + 44614^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249812 + ... + 3250428.

Almost surely, 2^2005324040 is an apocalyptic number.

2005324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005324040 is an abundant number, since it is smaller than the sum of its proper divisors (2548174120).

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

2005324040 is a wasteful number, since it uses less digits than its factorization.

2005324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2005324040 is about 44780.8445655059. The cubic root of 2005324040 is about 1261.0380376769.

Adding to 2005324040 its reverse (404235002), we get a palindrome (2409559042).

The spelling of 2005324040 in words is "two billion, five million, three hundred twenty-four thousand, forty".