2013004020 has 96 divisors (see below), whose sum is σ = 5976835200. Its totient is φ = 504797184.

The previous prime is 2013003959. The next prime is 2013004027. The reversal of 2013004020 is 204003102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2013003987 and 2013004005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013004027) 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, 149736 + ... + 162624.

It is an arithmetic number, because the mean of its divisors is an integer number (62258700).

Almost surely, 2^2013004020 is an apocalyptic number.

2013004020 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 2013004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988417600).

2013004020 is an abundant number, since it is smaller than the sum of its proper divisors (3963831180).

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

2013004020 is a wasteful number, since it uses less digits than its factorization.

2013004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2013004020 is about 44866.5133479302. The cubic root of 2013004020 is about 1262.6458259815.

Adding to 2013004020 its reverse (204003102), we get a palindrome (2217007122).

The spelling of 2013004020 in words is "two billion, thirteen million, four thousand, twenty".