2283984 has 80 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 714240.

The previous prime is 2283947. The next prime is 2283991. The reversal of 2283984 is 4893822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7189 + ... + 7499.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

2^2283984 is an apocalyptic number.

2283984 is a gapful number since it is divisible by the number (24) 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 2283984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2283984 is an abundant number, since it is smaller than the sum of its proper divisors (4679856).

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

2283984 is a wasteful number, since it uses less digits than its factorization.

2283984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2283984 is about 1511.2855454877. The cubic root of 2283984 is about 131.6935037606.

The spelling of 2283984 in words is "two million, two hundred eighty-three thousand, nine hundred eighty-four".