2042648129 has 2 divisors, whose sum is σ = 2042648130. Its totient is φ = 2042648128.

The previous prime is 2042648099. The next prime is 2042648131. The reversal of 2042648129 is 9218462402.

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., 1532565904 + 510082225 = 39148^2 + 22585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042648129 - 2²⁸ = 1774212673 is a prime.

It is a super-2 number, since 2×2042648129² = 8344822757814401282, which contains 22 as substring.

Together with 2042648131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042648092 and 2042648101.

It is not a weakly prime, because it can be changed into another prime (2042648189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021324064 + 1021324065.

It is an arithmetic number, because the mean of its divisors is an integer number (1021324065).

Almost surely, 2^2042648129 is an apocalyptic number.

It is an amenable number.

2042648129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042648129 is an equidigital number, since it uses as much as digits as its factorization.

2042648129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2042648129 is about 45195.6649359206. The cubic root of 2042648129 is about 1268.8136831535.

The spelling of 2042648129 in words is "two billion, forty-two million, six hundred forty-eight thousand, one hundred twenty-nine".