2609680 has 20 divisors (see below), whose sum is σ = 6067692. Its totient is φ = 1043840.

The previous prime is 2609671. The next prime is 2609683. The reversal of 2609680 is 869062.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 1364224 = 1116^2 + 1168^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16231 + ... + 16390.

2^2609680 is an apocalyptic number.

2609680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2609680 is an abundant number, since it is smaller than the sum of its proper divisors (3458012).

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

2609680 is a wasteful number, since it uses less digits than its factorization.

2609680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32634 (or 32628 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2609680 is about 1615.4504015908. The cubic root of 2609680 is about 137.6773249361.

The spelling of 2609680 in words is "two million, six hundred nine thousand, six hundred eighty".