2138628617 has 2 divisors, whose sum is σ = 2138628618. Its totient is φ = 2138628616.

The previous prime is 2138628571. The next prime is 2138628629. The reversal of 2138628617 is 7168268312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1515077776 + 623550841 = 38924^2 + 24971^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138628617 - 2²⁰ = 2137580041 is a prime.

It is a super-3 number, since 3×2138628617³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2138622617) 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, 1069314308 + 1069314309.

It is an arithmetic number, because the mean of its divisors is an integer number (1069314309).

Almost surely, 2^2138628617 is an apocalyptic number.

It is an amenable number.

2138628617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138628617 is an equidigital number, since it uses as much as digits as its factorization.

2138628617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 44.

The square root of 2138628617 is about 46245.3091350896. The cubic root of 2138628617 is about 1288.3834119611.

The spelling of 2138628617 in words is "two billion, one hundred thirty-eight million, six hundred twenty-eight thousand, six hundred seventeen".