2209673331009 has 27 divisors (see below), whose sum is σ = 3390660837187. Its totient is φ = 1386414129984.

The previous prime is 2209673330951. The next prime is 2209673331031. The reversal of 2209673331009 is 9001333769022.

The square root of 2209673331009 is 1486497.

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

2209673331009 is a `hidden beast` number, since 2 + 209 + 6 + 7 + 333 + 100 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1720333908225 + 489339422784 = 1311615^2 + 699528^2 .

It is not a de Polignac number, because 2209673331009 - 2⁷ = 2209673330881 is a prime.

It is a super-3 number, since 3×2209673331009³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2209673331209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75796774 + ... + 75825920.

Almost surely, 2^{2209673331009} is an apocalyptic number.

2209673331009 is the 1486497-th square number.

2209673331009 is the 743249-th centered octagonal number.

It is an amenable number.

2209673331009 is a deficient number, since it is larger than the sum of its proper divisors (1180987506178).

2209673331009 is an frugal number, since it uses more digits than its factorization.

2209673331009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58334 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 2209673331009 in words is "two trillion, two hundred nine billion, six hundred seventy-three million, three hundred thirty-one thousand, nine".