2420400013 has 2 divisors, whose sum is σ = 2420400014. Its totient is φ = 2420400012.

The previous prime is 2420399981. The next prime is 2420400049. The reversal of 2420400013 is 3100040242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2357879364 + 62520649 = 48558^2 + 7907^2 .

It is a cyclic number.

It is not a de Polignac number, because 2420400013 - 2⁵ = 2420399981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2420400013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2420400053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1210200006 + 1210200007.

It is an arithmetic number, because the mean of its divisors is an integer number (1210200007).

Almost surely, 2^2420400013 is an apocalyptic number.

It is an amenable number.

2420400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2420400013 is an equidigital number, since it uses as much as digits as its factorization.

2420400013 is an evil number, because the sum of its binary digits is even.

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

The square root of 2420400013 is about 49197.5610472714. The cubic root of 2420400013 is about 1342.6486583032.

Adding to 2420400013 its reverse (3100040242), we get a palindrome (5520440255).

The spelling of 2420400013 in words is "two billion, four hundred twenty million, four hundred thousand, thirteen".