2676680 has 32 divisors (see below), whose sum is σ = 6126840. Its totient is φ = 1052160.

The previous prime is 2676679. The next prime is 2676683. The reversal of 2676680 is 866762.

2676680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1094116 + 1582564 = 1046^2 + 1258^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2676680.

It is not an unprimeable number, because it can be changed into a prime (2676683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1892 + ... + 2988.

2^2676680 is an apocalyptic number.

2676680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063420).

2676680 is an abundant number, since it is smaller than the sum of its proper divisors (3450160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2676680 is a wasteful number, since it uses less digits than its factorization.

2676680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2676680 is about 1636.0562337524. The cubic root of 2676680 is about 138.8456095076.

The spelling of 2676680 in words is "two million, six hundred seventy-six thousand, six hundred eighty".