2005344 has 96 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 604800.

The previous prime is 2005343. The next prime is 2005369. The reversal of 2005344 is 4435002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9399 + ... + 9609.

It is an arithmetic number, because the mean of its divisors is an integer number (66780).

2^2005344 is an apocalyptic number.

2005344 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 2005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440).

2005344 is an abundant number, since it is smaller than the sum of its proper divisors (4405536).

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

2005344 is a wasteful number, since it uses less digits than its factorization.

2005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2005344 is about 1416.1016912637. The cubic root of 2005344 is about 126.1042221579.

The spelling of 2005344 in words is "two million, five thousand, three hundred forty-four".