2684000 has 96 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 960000.

The previous prime is 2683999. The next prime is 2684021. The reversal of 2684000 is 4862.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 43970 + ... + 44030.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2^2684000 is an apocalyptic number.

2684000 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 2684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2684000 is an abundant number, since it is smaller than the sum of its proper divisors (4628032).

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

2684000 is a wasteful number, since it uses less digits than its factorization.

2684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2684000 is about 1638.2917933018. The cubic root of 2684000 is about 138.9720627738.

Adding to 2684000 its reverse (4862), we get a palindrome (2688862).

The spelling of 2684000 in words is "two million, six hundred eighty-four thousand".