2678985 has 24 divisors (see below), whose sum is σ = 4772040. Its totient is φ = 1389312.

The previous prime is 2678983. The next prime is 2678993. The reversal of 2678985 is 5898762.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 1121481 = 1248^2 + 1059^2 .

It is not a de Polignac number, because 2678985 - 2¹ = 2678983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

2678985 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2678985.

It is not an unprimeable number, because it can be changed into a prime (2678983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861 + ... + 2469.

It is an arithmetic number, because the mean of its divisors is an integer number (198835).

2^2678985 is an apocalyptic number.

It is an amenable number.

2678985 is a deficient number, since it is larger than the sum of its proper divisors (2093055).

2678985 is a wasteful number, since it uses less digits than its factorization.

2678985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1654 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2678985 is about 1636.7605200517. The cubic root of 2678985 is about 138.8854533076.

It can be divided in two parts, 2678 and 985, that added together give a palindrome (3663).

The spelling of 2678985 in words is "two million, six hundred seventy-eight thousand, nine hundred eighty-five".