2844000 has 144 divisors (see below), whose sum is σ = 10221120. Its totient is φ = 748800.

The previous prime is 2843999. The next prime is 2844013. The reversal of 2844000 is 4482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 7.

It is a congruent number.

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, 35961 + ... + 36039.

It is an arithmetic number, because the mean of its divisors is an integer number (70980).

2^2844000 is an apocalyptic number.

2844000 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 2844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560).

2844000 is an abundant number, since it is smaller than the sum of its proper divisors (7377120).

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

2844000 is a wasteful number, since it uses less digits than its factorization.

2844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2844000 is about 1686.4163187066. The cubic root of 2844000 is about 141.6804292666.

Adding to 2844000 its reverse (4482), we get a palindrome (2848482).

The spelling of 2844000 in words is "two million, eight hundred forty-four thousand".