2689002 has 48 divisors (see below), whose sum is σ = 6190080. Its totient is φ = 842400.

The previous prime is 2688997. The next prime is 2689007. The reversal of 2689002 is 2009862.

2689002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2688997) and next prime (2689007).

It is not an unprimeable number, because it can be changed into a prime (2689007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33999 + ... + 34077.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

2^2689002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095040).

2689002 is an abundant number, since it is smaller than the sum of its proper divisors (3501078).

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

2689002 is a wasteful number, since it uses less digits than its factorization.

2689002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2689002 is about 1639.8176727917. The cubic root of 2689002 is about 139.0583403292.

The spelling of 2689002 in words is "two million, six hundred eighty-nine thousand, two".