2904112 has 40 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 1336320.

The previous prime is 2904107. The next prime is 2904133. The reversal of 2904112 is 2114092.

2904112 = 18³ + 19³ + ... + 58³.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2904112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12348 + ... + 12580.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

2^2904112 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 2904112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2904112 is an abundant number, since it is smaller than the sum of its proper divisors (3189248).

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

2904112 is a wasteful number, since it uses less digits than its factorization.

2904112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2904112 is about 1704.1455336913. The cubic root of 2904112 is about 142.6716839105.

The spelling of 2904112 in words is "two million, nine hundred four thousand, one hundred twelve".