2681679 has 64 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 1192320.

The previous prime is 2681663. The next prime is 2681681. The reversal of 2681679 is 9761862.

It is not a de Polignac number, because 2681679 - 2⁴ = 2681663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681579) 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 63 ways as a sum of consecutive naturals, for example, 57034 + ... + 57080.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^2681679 is an apocalyptic number.

2681679 is a deficient number, since it is larger than the sum of its proper divisors (2479281).

2681679 is a wasteful number, since it uses less digits than its factorization.

2681679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its digits is 36288, while the sum is 39.

The square root of 2681679 is about 1637.5832803250. The cubic root of 2681679 is about 138.9319923343.

The spelling of 2681679 in words is "two million, six hundred eighty-one thousand, six hundred seventy-nine".