2984112 has 120 divisors (see below), whose sum is σ = 9401184. Its totient is φ = 878592.

The previous prime is 2984101. The next prime is 2984117. The reversal of 2984112 is 2114892.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2984117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56278 + ... + 56330.

2^2984112 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 2984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592).

2984112 is an abundant number, since it is smaller than the sum of its proper divisors (6417072).

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

2984112 is a wasteful number, since it uses less digits than its factorization.

2984112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 2984112 is about 1727.4582484101. The cubic root of 2984112 is about 143.9699011166.

The spelling of 2984112 in words is "two million, nine hundred eighty-four thousand, one hundred twelve".