2066121585 has 72 divisors (see below), whose sum is σ = 3956021160. Its totient is φ = 996779520.

The previous prime is 2066121583. The next prime is 2066121587. The reversal of 2066121585 is 5851216602.

2066121585 is a `hidden beast` number, since 2 + 0 + 66 + 12 + 1 + 585 = 666.

2066121585 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2066121583) and next prime (2066121587).

It can be written as a sum of positive squares in 4 ways, for example, as 455865201 + 1610256384 = 21351^2 + 40128^2 .

It is not a de Polignac number, because 2066121585 - 2¹ = 2066121583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2066121583) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1246077 + ... + 1247733.

Almost surely, 2^2066121585 is an apocalyptic number.

It is an amenable number.

2066121585 is a deficient number, since it is larger than the sum of its proper divisors (1889899575).

2066121585 is a wasteful number, since it uses less digits than its factorization.

2066121585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2066121585 is about 45454.6101622267. The cubic root of 2066121585 is about 1273.6554499632.

The spelling of 2066121585 in words is "two billion, sixty-six million, one hundred twenty-one thousand, five hundred eighty-five".