2013004640 has 48 divisors (see below), whose sum is σ = 4784264352. Its totient is φ = 800369664.

The previous prime is 2013004627. The next prime is 2013004649. The reversal of 2013004640 is 464003102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013004649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10949 + ... + 64388.

It is an arithmetic number, because the mean of its divisors is an integer number (99672174).

Almost surely, 2^2013004640 is an apocalyptic number.

2013004640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013004640 is an abundant number, since it is smaller than the sum of its proper divisors (2771259712).

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

2013004640 is a wasteful number, since it uses less digits than its factorization.

2013004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75519 (or 75511 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2013004640 is about 44866.5202573144. The cubic root of 2013004640 is about 1262.6459556120.

Adding to 2013004640 its reverse (464003102), we get a palindrome (2477007742).

The spelling of 2013004640 in words is "two billion, thirteen million, four thousand, six hundred forty".