2842000 has 120 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 940800.

The previous prime is 2841989. The next prime is 2842031. The reversal of 2842000 is 2482.

2842000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 2729104 = 336^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97986 + ... + 98014.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2^2842000 is an apocalyptic number.

2842000 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 2842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

2842000 is an abundant number, since it is smaller than the sum of its proper divisors (5427560).

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

2842000 is a wasteful number, since it uses less digits than its factorization.

2842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2842000 is about 1685.8232410309. The cubic root of 2842000 is about 141.6472099384.

Adding to 2842000 its reverse (2482), we get a palindrome (2844482).

The spelling of 2842000 in words is "two million, eight hundred forty-two thousand".