2736009 has 12 divisors (see below), whose sum is σ = 3989700. Its totient is φ = 1806624.

The previous prime is 2735983. The next prime is 2736043. The reversal of 2736009 is 9006372.

It can be written as a sum of positive squares in 2 ways, for example, as 1814409 + 921600 = 1347^2 + 960^2 .

It is not a de Polignac number, because 2736009 - 2⁵ = 2735977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2736049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (332475).

2^2736009 is an apocalyptic number.

It is an amenable number.

2736009 is a deficient number, since it is larger than the sum of its proper divisors (1253691).

2736009 is a wasteful number, since it uses less digits than its factorization.

2736009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2736009 is about 1654.0885707845. The cubic root of 2736009 is about 139.8639665029.

The spelling of 2736009 in words is "two million, seven hundred thirty-six thousand, nine".