2894411482209 has 189 divisors, whose sum is σ = 4866712493769. Its totient is φ = 1719807111360.

The previous prime is 2894411482177. The next prime is 2894411482217. The reversal of 2894411482209 is 9022841144982.

The square root of 2894411482209 is 1701297.

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

2894411482209 is a `hidden beast` number, since 289 + 44 + 114 + 8 + 2 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12022464609 + 2882389017600 = 109647^2 + 1697760^2 .

It is not a de Polignac number, because 2894411482209 - 2⁵ = 2894411482177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2894411482289) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 22094744074 + ... + 22094744204.

Almost surely, 2^{2894411482209} is an apocalyptic number.

2894411482209 is the 1701297-th square number.

2894411482209 is the 850649-th centered octagonal number.

It is an amenable number.

2894411482209 is a deficient number, since it is larger than the sum of its proper divisors (1972301011560).

2894411482209 is an frugal number, since it uses more digits than its factorization.

2894411482209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2894411482209 in words is "two trillion, eight hundred ninety-four billion, four hundred eleven million, four hundred eighty-two thousand, two hundred nine".