2609000 has 32 divisors (see below), whose sum is σ = 6107400. Its totient is φ = 1043200.

The previous prime is 2608993. The next prime is 2609021. The reversal of 2609000 is 9062.

It can be written as a sum of positive squares in 4 ways, for example, as 743044 + 1865956 = 862^2 + 1366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2609000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 2304.

2^2609000 is an apocalyptic number.

2609000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2609000 is an abundant number, since it is smaller than the sum of its proper divisors (3498400).

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

2609000 is a wasteful number, since it uses less digits than its factorization.

2609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2609000 is about 1615.2399202595. The cubic root of 2609000 is about 137.6653657797.

The spelling of 2609000 in words is "two million, six hundred nine thousand".