2681829 has 20 divisors (see below), whose sum is σ = 4055436. Its totient is φ = 1766016.

The previous prime is 2681827. The next prime is 2681843. The reversal of 2681829 is 9281862.

It can be written as a sum of positive squares in 2 ways, for example, as 1205604 + 1476225 = 1098^2 + 1215^2 .

It is not a de Polignac number, because 2681829 - 2¹ = 2681827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2681793 and 2681802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681827) 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 19 ways as a sum of consecutive naturals, for example, 9007 + ... + 9299.

2^2681829 is an apocalyptic number.

It is an amenable number.

2681829 is a deficient number, since it is larger than the sum of its proper divisors (1373607).

2681829 is a wasteful number, since it uses less digits than its factorization.

2681829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2681829 is about 1637.6290788820. The cubic root of 2681829 is about 138.9345826779.

The spelling of 2681829 in words is "two million, six hundred eighty-one thousand, eight hundred twenty-nine".