2688984 has 64 divisors (see below), whose sum is σ = 7632000. Its totient is φ = 876960.

The previous prime is 2688979. The next prime is 2688997. The reversal of 2688984 is 4898862.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 12639 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (119250).

2^2688984 is an apocalyptic number.

2688984 is a gapful number since it is divisible by the number (24) 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 2688984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816000).

2688984 is an abundant number, since it is smaller than the sum of its proper divisors (4943016).

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

2688984 is a wasteful number, since it uses less digits than its factorization.

2688984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2688984 is about 1639.8121843675. The cubic root of 2688984 is about 139.0580300461.

The spelling of 2688984 in words is "two million, six hundred eighty-eight thousand, nine hundred eighty-four".