2846112 has 48 divisors (see below), whose sum is σ = 7801920. Its totient is φ = 906752.

The previous prime is 2846111. The next prime is 2846113. The reversal of 2846112 is 2116482.

2846112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2846111) and next prime (2846113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2846111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1564 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (162540).

2^2846112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2846112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900960).

2846112 is an abundant number, since it is smaller than the sum of its proper divisors (4955808).

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

2846112 is a wasteful number, since it uses less digits than its factorization.

2846112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2846112 is about 1687.0423823959. The cubic root of 2846112 is about 141.7154919748.

The spelling of 2846112 in words is "two million, eight hundred forty-six thousand, one hundred twelve".