2689616 has 20 divisors (see below), whose sum is σ = 5267892. Its totient is φ = 1330176.

The previous prime is 2689613. The next prime is 2689619. The reversal of 2689616 is 6169862.

It is an interprime number because it is at equal distance from previous prime (2689613) and next prime (2689619).

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 1488400 = 1096^2 + 1220^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2689616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 686 + ... + 2418.

2^2689616 is an apocalyptic number.

It is an amenable number.

2689616 is a deficient number, since it is larger than the sum of its proper divisors (2578276).

2689616 is a wasteful number, since it uses less digits than its factorization.

2689616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1832 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 2689616 is about 1640.0048780415. The cubic root of 2689616 is about 139.0689236018.

It can be divided in two parts, 26896 and 16, that multiplied together give a square (430336 = 656²).

The spelling of 2689616 in words is "two million, six hundred eighty-nine thousand, six hundred sixteen".