2689536 has 80 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 835584.

The previous prime is 2689523. The next prime is 2689537. The reversal of 2689536 is 6359862.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2689494 and 2689503.

It is not an unprimeable number, because it can be changed into a prime (2689537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26061 + ... + 26163.

2^2689536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2689536 is an abundant number, since it is smaller than the sum of its proper divisors (4970688).

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

2689536 is a wasteful number, since it uses less digits than its factorization.

2689536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 2689536 is about 1639.9804876888. The cubic root of 2689536 is about 139.0675447650.

The spelling of 2689536 in words is "two million, six hundred eighty-nine thousand, five hundred thirty-six".