2005344000 has 576 divisors, whose sum is σ = 8111900160. Its totient is φ = 483840000.

The previous prime is 2005343983. The next prime is 2005344017. The reversal of 2005344000 is 4435002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2005343983) and next prime (2005344017).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503895 + ... + 9504105.

It is an arithmetic number, because the mean of its divisors is an integer number (14083160).

Almost surely, 2^2005344000 is an apocalyptic number.

2005344000 is a gapful number since it is divisible by the number (20) 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 2005344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055950080).

2005344000 is an abundant number, since it is smaller than the sum of its proper divisors (6106556160).

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

2005344000 is a wasteful number, since it uses less digits than its factorization.

2005344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 232 counting only the distinct ones).

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

The square root of 2005344000 is about 44781.0674280996. The cubic root of 2005344000 is about 1261.0422215785.

Adding to 2005344000 its reverse (4435002), we get a palindrome (2009779002).

The spelling of 2005344000 in words is "two billion, five million, three hundred forty-four thousand".