2689000 has 32 divisors (see below), whose sum is σ = 6294600. Its totient is φ = 1075200.

The previous prime is 2688997. The next prime is 2689007. The reversal of 2689000 is 9862.

It can be written as a sum of positive squares in 4 ways, for example, as 198916 + 2490084 = 446^2 + 1578^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 2344.

2^2689000 is an apocalyptic number.

2689000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2689000 is an abundant number, since it is smaller than the sum of its proper divisors (3605600).

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

2689000 is a wasteful number, since it uses less digits than its factorization.

2689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2689000 is about 1639.8170629677. The cubic root of 2689000 is about 139.0583058534.

The spelling of 2689000 in words is "two million, six hundred eighty-nine thousand".