2689960 has 64 divisors (see below), whose sum is σ = 7459200. Its totient is φ = 850176.

The previous prime is 2689957. The next prime is 2689979. The reversal of 2689960 is 699862.

It is a happy number.

2689960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271 + ... + 4009.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

2^2689960 is an apocalyptic number.

2689960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729600).

2689960 is an abundant number, since it is smaller than the sum of its proper divisors (4769240).

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

2689960 is a wasteful number, since it uses less digits than its factorization.

2689960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 2689960 is about 1640.1097524251. The cubic root of 2689960 is about 139.0748522883.

The spelling of 2689960 in words is "two million, six hundred eighty-nine thousand, nine hundred sixty".