2002420013 has 32 divisors (see below), whose sum is σ = 2339850240. Its totient is φ = 1694554560.

The previous prime is 2002420009. The next prime is 2002420039. The reversal of 2002420013 is 3100242002.

It is a cyclic number.

It is not a de Polignac number, because 2002420013 - 2² = 2002420009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002420013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002420073) 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, 3594731 + ... + 3595287.

It is an arithmetic number, because the mean of its divisors is an integer number (73120320).

Almost surely, 2^2002420013 is an apocalyptic number.

It is an amenable number.

2002420013 is a deficient number, since it is larger than the sum of its proper divisors (337430227).

2002420013 is a wasteful number, since it uses less digits than its factorization.

2002420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002420013 is about 44748.4079381602. The cubic root of 2002420013 is about 1260.4290159558.

Adding to 2002420013 its reverse (3100242002), we get a palindrome (5102662015).

The spelling of 2002420013 in words is "two billion, two million, four hundred twenty thousand, thirteen".