2193984 has 84 divisors (see below), whose sum is σ = 6795516. Its totient is φ = 672768.

The previous prime is 2193979. The next prime is 2194013. The reversal of 2193984 is 4893912.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 921600 = 1128^2 + 960^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (15552) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7342 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (80899).

2^2193984 is an apocalyptic number.

2193984 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 2193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397758).

2193984 is an abundant number, since it is smaller than the sum of its proper divisors (4601532).

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

2193984 is a wasteful number, since it uses less digits than its factorization.

2193984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2193984 is about 1481.2103159241. The cubic root of 2193984 is about 129.9404855788.

The spelling of 2193984 in words is "two million, one hundred ninety-three thousand, nine hundred eighty-four".