2682000 has 120 divisors (see below), whose sum is σ = 9430200. Its totient is φ = 710400.

The previous prime is 2681993. The next prime is 2682011. The reversal of 2682000 is 2862.

It can be written as a sum of positive squares in 4 ways, for example, as 467856 + 2214144 = 684^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17926 + ... + 18074.

It is an arithmetic number, because the mean of its divisors is an integer number (78585).

2^2682000 is an apocalyptic number.

2682000 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 2682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715100).

2682000 is an abundant number, since it is smaller than the sum of its proper divisors (6748200).

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

2682000 is a wasteful number, since it uses less digits than its factorization.

2682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2682000 is about 1637.6812876747. The cubic root of 2682000 is about 138.9375355518.

Adding to 2682000 its reverse (2862), we get a palindrome (2684862).

The spelling of 2682000 in words is "two million, six hundred eighty-two thousand".