2442020129117 has 2 divisors, whose sum is σ = 2442020129118. Its totient is φ = 2442020129116.

The previous prime is 2442020129077. The next prime is 2442020129137. The reversal of 2442020129117 is 7119210202442.

2442020129117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1325339722756 + 1116680406361 = 1151234^2 + 1056731^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442020129117 - 2³⁰ = 2440946387293 is a prime.

It is a super-2 number, since 2×2442020129117² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2442020129137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1221010064558 + 1221010064559.

It is an arithmetic number, because the mean of its divisors is an integer number (1221010064559).

Almost surely, 2^{2442020129117} is an apocalyptic number.

It is an amenable number.

2442020129117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2442020129117 is an equidigital number, since it uses as much as digits as its factorization.

2442020129117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 2442020129117 in words is "two trillion, four hundred forty-two billion, twenty million, one hundred twenty-nine thousand, one hundred seventeen".