2667985 has 8 divisors (see below), whose sum is σ = 3235176. Its totient is φ = 2112000.

The previous prime is 2667983. The next prime is 2667989. The reversal of 2667985 is 5897662.

2667985 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 904401 + 1763584 = 951^2 + 1328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2667985 - 2¹ = 2667983 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2667983) 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, 2266 + ... + 3235.

It is an arithmetic number, because the mean of its divisors is an integer number (404397).

2^2667985 is an apocalyptic number.

It is an amenable number.

2667985 is a deficient number, since it is larger than the sum of its proper divisors (567191).

2667985 is an equidigital number, since it uses as much as digits as its factorization.

2667985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603.

The product of its digits is 181440, while the sum is 43.

The square root of 2667985 is about 1633.3967674757. The cubic root of 2667985 is about 138.6951031373.

The spelling of 2667985 in words is "two million, six hundred sixty-seven thousand, nine hundred eighty-five".