2345904988209 has 12 divisors (see below), whose sum is σ = 3388589813700. Its totient is φ = 1563908788224.

The previous prime is 2345904988187. The next prime is 2345904988223. The reversal of 2345904988209 is 9028894095432.

2345904988209 is a `hidden beast` number, since 2 + 34 + 5 + 90 + 498 + 8 + 20 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425540952225 + 1920364035984 = 652335^2 + 1385772^2 .

It is not a de Polignac number, because 2345904988209 - 2⁵ = 2345904988177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2345904988249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1782864 + ... + 2805425.

It is an arithmetic number, because the mean of its divisors is an integer number (282382484475).

Almost surely, 2^{2345904988209} is an apocalyptic number.

It is an amenable number.

2345904988209 is a deficient number, since it is larger than the sum of its proper divisors (1042684825491).

2345904988209 is a wasteful number, since it uses less digits than its factorization.

2345904988209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645104 (or 4645101 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2345904988209 in words is "two trillion, three hundred forty-five billion, nine hundred four million, nine hundred eighty-eight thousand, two hundred nine".