2789668 has 36 divisors (see below), whose sum is σ = 5828592. Its totient is φ = 1164240.

The previous prime is 2789629. The next prime is 2789669. The reversal of 2789668 is 8669872.

It is not an unprimeable number, because it can be changed into a prime (2789669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8263 + ... + 8593.

2^2789668 is an apocalyptic number.

2789668 is a gapful number since it is divisible by the number (28) 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 2789668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914296).

2789668 is an abundant number, since it is smaller than the sum of its proper divisors (3038924).

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

2789668 is a wasteful number, since it uses less digits than its factorization.

2789668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 2789668 is about 1670.2299242919. The cubic root of 2789668 is about 140.7723974171.

The spelling of 2789668 in words is "two million, seven hundred eighty-nine thousand, six hundred sixty-eight".