2114400413 has 2 divisors, whose sum is σ = 2114400414. Its totient is φ = 2114400412.

The previous prime is 2114400401. The next prime is 2114400433. The reversal of 2114400413 is 3140044112.

It is an a-pointer prime, because the next prime (2114400433) can be obtained adding 2114400413 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1883299609 + 231100804 = 43397^2 + 15202^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114400413 - 2²⁶ = 2047291549 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114400433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057200206 + 1057200207.

It is an arithmetic number, because the mean of its divisors is an integer number (1057200207).

Almost surely, 2^2114400413 is an apocalyptic number.

It is an amenable number.

2114400413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114400413 is an equidigital number, since it uses as much as digits as its factorization.

2114400413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2114400413 is about 45982.6098976559. The cubic root of 2114400413 is about 1283.4996216448.

Adding to 2114400413 its reverse (3140044112), we get a palindrome (5254444525).

The spelling of 2114400413 in words is "two billion, one hundred fourteen million, four hundred thousand, four hundred thirteen".