2082304000 has 312 divisors, whose sum is σ = 6118087248. Its totient is φ = 705331200.

The previous prime is 2082303967. The next prime is 2082304001. The reversal of 2082304000 is 4032802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082304001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25087959 + ... + 25088041.

It is an arithmetic number, because the mean of its divisors is an integer number (19609254).

Almost surely, 2^2082304000 is an apocalyptic number.

2082304000 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 2082304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059043624).

2082304000 is an abundant number, since it is smaller than the sum of its proper divisors (4035783248).

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

2082304000 is an frugal number, since it uses more digits than its factorization.

2082304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2082304000 is about 45632.2692839179. The cubic root of 2082304000 is about 1276.9720092463.

Adding to 2082304000 its reverse (4032802), we get a palindrome (2086336802).

The spelling of 2082304000 in words is "two billion, eighty-two million, three hundred four thousand".