2153844 has 144 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 544320.

The previous prime is 2153839. The next prime is 2153861. The reversal of 2153844 is 4483512.

2153844 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58194 + ... + 58230.

It is an arithmetic number, because the mean of its divisors is an integer number (50540).

2^2153844 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 2153844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

2153844 is an abundant number, since it is smaller than the sum of its proper divisors (5123916).

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

2153844 is a wasteful number, since it uses less digits than its factorization.

2153844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2153844 is about 1467.5980376111. The cubic root of 2153844 is about 129.1431617769.

The spelling of 2153844 in words is "two million, one hundred fifty-three thousand, eight hundred forty-four".