2049 has 4 divisors (see below), whose sum is σ = 2736. Its totient is φ = 1364.

The previous prime is 2039. The next prime is 2053. The reversal of 2049 is 9402.

2049 is nontrivially palindromic in base 2 and base 15.

It is a Cunningham number, because it is equal to 2^{11}+1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a Cullen number, since it is equal to 8×2^{8}+1.

It is not a de Polignac number, because 2049 - 2^{5} = 2017 is a prime.

It is a D-number.

2049 is an undulating number in base 15.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2049.

It is not an unprimeable number, because it can be changed into a prime (2029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

It is a Proth number, since it is equal to 1 ⋅ 2^{11} + 1 and 1 < 2^{11}.

2^{2049} is an apocalyptic number.

It is an amenable number.

2049 is a deficient number, since it is larger than the sum of its proper divisors (687).

2049 is an equidigital number, since it uses as much as digits as its factorization.

2049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2049 is about 45.2658811910. The cubic root of 2049 is about 12.7012750079.

The spelling of 2049 in words is "two thousand, forty-nine".

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