2153984 has 40 divisors (see below), whose sum is σ = 4926768. Its totient is φ = 921600.

The previous prime is 2153981. The next prime is 2153989. The reversal of 2153984 is 4893512.

It is a Smith number, since the sum of its digits (32) 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 (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2153984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3284 + ... + 3884.

2^2153984 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 2153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463384).

2153984 is an abundant number, since it is smaller than the sum of its proper divisors (2772784).

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

2153984 is an frugal number, since it uses more digits than its factorization.

2153984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 610 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 2153984 is about 1467.6457338200. The cubic root of 2153984 is about 129.1459598209.

The spelling of 2153984 in words is "two million, one hundred fifty-three thousand, nine hundred eighty-four".