2830964407209 has 27 divisors (see below), whose sum is σ = 4186800363837. Its totient is φ = 1843277349816.

The previous prime is 2830964407199. The next prime is 2830964407261. The reversal of 2830964407209 is 9027044690382.

The square root of 2830964407209 is 1682547.

It is a perfect power (a square), and thus also a powerful number.

2830964407209 is a `hidden beast` number, since 28 + 3 + 0 + 9 + 6 + 4 + 407 + 209 = 666.

It is not a de Polignac number, because 2830964407209 - 2³⁷ = 2693525453737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2830964417209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217042042 + ... + 217055084.

Almost surely, 2^{2830964407209} is an apocalyptic number.

2830964407209 is the 1682547-th square number.

2830964407209 is the 841274-th centered octagonal number.

It is an amenable number.

2830964407209 is a deficient number, since it is larger than the sum of its proper divisors (1355835956628).

2830964407209 is an frugal number, since it uses more digits than its factorization.

2830964407209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26178 (or 13089 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2830964407209 in words is "two trillion, eight hundred thirty billion, nine hundred sixty-four million, four hundred seven thousand, two hundred nine".