2689056 has 36 divisors (see below), whose sum is σ = 7647822. Its totient is φ = 896256.

The previous prime is 2689031. The next prime is 2689073. The reversal of 2689056 is 6509862.

It can be written as a sum of positive squares in only one way, i.e., 1648656 + 1040400 = 1284^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2689056³ = 58333870666278862848, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2689056.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4381 + ... + 4956.

2^2689056 is an apocalyptic number.

It is an amenable number.

2689056 is an abundant number, since it is smaller than the sum of its proper divisors (4958766).

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

2689056 is a wasteful number, since it uses less digits than its factorization.

2689056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9353 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2689056 is about 1639.8341379542. The cubic root of 2689056 is about 139.0592711702.

The spelling of 2689056 in words is "two million, six hundred eighty-nine thousand, fifty-six".