2002400013 has 4 divisors (see below), whose sum is σ = 2669866688. Its totient is φ = 1334933340.

The previous prime is 2002399991. The next prime is 2002400017. The reversal of 2002400013 is 3100042002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2002400013 - 2¹² = 2002395917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002400017) 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 3 ways as a sum of consecutive naturals, for example, 333733333 + ... + 333733338.

It is an arithmetic number, because the mean of its divisors is an integer number (667466672).

Almost surely, 2^2002400013 is an apocalyptic number.

It is an amenable number.

2002400013 is a deficient number, since it is larger than the sum of its proper divisors (667466675).

2002400013 is an equidigital number, since it uses as much as digits as its factorization.

2002400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667466674.

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

The square root of 2002400013 is about 44748.1844659646. The cubic root of 2002400013 is about 1260.4248195894.

Adding to 2002400013 its reverse (3100042002), we get a palindrome (5102442015).

The spelling of 2002400013 in words is "two billion, two million, four hundred thousand, thirteen".