2005042130 has 64 divisors (see below), whose sum is σ = 4504647168. Its totient is φ = 625605120.

The previous prime is 2005042129. The next prime is 2005042139. The reversal of 2005042130 is 312405002.

It is a junction number, because it is equal to n+sod(n) for n = 2005042099 and 2005042108.

It is not an unprimeable number, because it can be changed into a prime (2005042139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49094 + ... + 80126.

It is an arithmetic number, because the mean of its divisors is an integer number (70385112).

Almost surely, 2^2005042130 is an apocalyptic number.

2005042130 is an abundant number, since it is smaller than the sum of its proper divisors (2499605038).

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

2005042130 is a wasteful number, since it uses less digits than its factorization.

2005042130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2005042130 is about 44777.6967920415. The cubic root of 2005042130 is about 1260.9789423410.

Adding to 2005042130 its reverse (312405002), we get a palindrome (2317447132).

The spelling of 2005042130 in words is "two billion, five million, forty-two thousand, one hundred thirty".