2013040420 has 12 divisors (see below), whose sum is σ = 4227384924. Its totient is φ = 805216160.

The previous prime is 2013040391. The next prime is 2013040429. The reversal of 2013040420 is 240403102.

It can be written as a sum of positive squares in 2 ways, for example, as 810199296 + 1202841124 = 28464^2 + 34682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2013040394 and 2013040403.

It is not an unprimeable number, because it can be changed into a prime (2013040429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50325991 + ... + 50326030.

It is an arithmetic number, because the mean of its divisors is an integer number (352282077).

Almost surely, 2^2013040420 is an apocalyptic number.

2013040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013040420 is an abundant number, since it is smaller than the sum of its proper divisors (2214344504).

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

2013040420 is a wasteful number, since it uses less digits than its factorization.

2013040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100652030 (or 100652028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2013040420 is about 44866.9189938422. The cubic root of 2013040420 is about 1262.6534365030.

Adding to 2013040420 its reverse (240403102), we get a palindrome (2253443522).

The spelling of 2013040420 in words is "two billion, thirteen million, forty thousand, four hundred twenty".