2267680 has 24 divisors (see below), whose sum is σ = 5357772. Its totient is φ = 907008.

The previous prime is 2267677. The next prime is 2267701. The reversal of 2267680 is 867622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2226064 + 41616 = 1492^2 + 204^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6927 + ... + 7246.

2^2267680 is an apocalyptic number.

2267680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2267680 is an abundant number, since it is smaller than the sum of its proper divisors (3090092).

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

2267680 is a wasteful number, since it uses less digits than its factorization.

2267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14188 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2267680 is about 1505.8818014705. The cubic root of 2267680 is about 131.3793946903.

The spelling of 2267680 in words is "two million, two hundred sixty-seven thousand, six hundred eighty".