2429397640213 has 2 divisors, whose sum is σ = 2429397640214. Its totient is φ = 2429397640212.

The previous prime is 2429397640199. The next prime is 2429397640223. The reversal of 2429397640213 is 3120467939242.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1264774642884 + 1164622997329 = 1124622^2 + 1079177^2 .

It is a cyclic number.

It is not a de Polignac number, because 2429397640213 - 2¹⁷ = 2429397509141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2429397640223) 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 as a sum of consecutive naturals, namely, 1214698820106 + 1214698820107.

It is an arithmetic number, because the mean of its divisors is an integer number (1214698820107).

Almost surely, 2^{2429397640213} is an apocalyptic number.

It is an amenable number.

2429397640213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2429397640213 is an equidigital number, since it uses as much as digits as its factorization.

2429397640213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 2429397640213 in words is "two trillion, four hundred twenty-nine billion, three hundred ninety-seven million, six hundred forty thousand, two hundred thirteen".