2005040360 has 128 divisors (see below), whose sum is σ = 4928083200. Its totient is φ = 731566080.

The previous prime is 2005040357. The next prime is 2005040369. The reversal of 2005040360 is 630405002.

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

It is not an unprimeable number, because it can be changed into a prime (2005040369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3177245 + ... + 3177875.

It is an arithmetic number, because the mean of its divisors is an integer number (38500650).

Almost surely, 2^2005040360 is an apocalyptic number.

2005040360 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 2005040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464041600).

2005040360 is an abundant number, since it is smaller than the sum of its proper divisors (2923042840).

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

2005040360 is a wasteful number, since it uses less digits than its factorization.

2005040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2005040360 is about 44777.6770277334. The cubic root of 2005040360 is about 1260.9785712875.

Adding to 2005040360 its reverse (630405002), we get a palindrome (2635445362).

The spelling of 2005040360 in words is "two billion, five million, forty thousand, three hundred sixty".