2023084800 has 648 divisors, whose sum is σ = 8224140288. Its totient is φ = 470016000.

The previous prime is 2023084781. The next prime is 2023084801. The reversal of 2023084800 is 84803202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023084801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19641549 + ... + 19641651.

Almost surely, 2^2023084800 is an apocalyptic number.

2023084800 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 2023084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112070144).

2023084800 is an abundant number, since it is smaller than the sum of its proper divisors (6201055488).

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

2023084800 is a wasteful number, since it uses less digits than its factorization.

2023084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2023084800 is about 44978.7149660815. The cubic root of 2023084800 is about 1264.7500222094.

The spelling of 2023084800 in words is "two billion, twenty-three million, eighty-four thousand, eight hundred".