2812000 has 96 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 1036800.

The previous prime is 2811989. The next prime is 2812001. The reversal of 2812000 is 2182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2812001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75982 + ... + 76018.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^2812000 is an apocalyptic number.

2812000 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 2812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734640).

2812000 is an abundant number, since it is smaller than the sum of its proper divisors (4657280).

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

2812000 is a wasteful number, since it uses less digits than its factorization.

2812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2812000 is about 1676.9019053004. The cubic root of 2812000 is about 141.1470390717.

Adding to 2812000 its reverse (2182), we get a palindrome (2814182).

The spelling of 2812000 in words is "two million, eight hundred twelve thousand".