2004523200 has 210 divisors, whose sum is σ = 7368599436. Its totient is φ = 534504960.

The previous prime is 2004523187. The next prime is 2004523201. The reversal of 2004523200 is 23254002.

2004523200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2004523200² = 8036226518676480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2004523201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121867 + ... + 137333.

Almost surely, 2^2004523200 is an apocalyptic number.

2004523200 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 2004523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684299718).

2004523200 is an abundant number, since it is smaller than the sum of its proper divisors (5364076236).

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

2004523200 is a wasteful number, since it uses less digits than its factorization.

2004523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15501 (or 15477 counting only the distinct ones).

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

The square root of 2004523200 is about 44771.9019028676. The cubic root of 2004523200 is about 1260.8701472434.

Adding to 2004523200 its reverse (23254002), we get a palindrome (2027777202).

The spelling of 2004523200 in words is "two billion, four million, five hundred twenty-three thousand, two hundred".