2667680 has 24 divisors (see below), whose sum is σ = 6302772. Its totient is φ = 1067008.

The previous prime is 2667667. The next prime is 2667689. The reversal of 2667680 is 867662.

It can be written as a sum of positive squares in 2 ways, for example, as 2572816 + 94864 = 1604^2 + 308^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2667680.

It is not an unprimeable number, because it can be changed into a prime (2667689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8177 + ... + 8496.

2^2667680 is an apocalyptic number.

2667680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667680 is an abundant number, since it is smaller than the sum of its proper divisors (3635092).

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

2667680 is a wasteful number, since it uses less digits than its factorization.

2667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16680 counting only the distinct ones).

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

The square root of 2667680 is about 1633.3034010863. The cubic root of 2667680 is about 138.6898177980.

It can be divided in two parts, 2667 and 680, that multiplied together give a triangular number (1813560 = T₁₉₀₄).

The spelling of 2667680 in words is "two million, six hundred sixty-seven thousand, six hundred eighty".