2004352900 has 135 divisors (see below), whose sum is σ = 4917162495. Its totient is φ = 709156800.

The previous prime is 2004352879. The next prime is 2004352907. The reversal of 2004352900 is 92534002.

It is a happy number.

The square root of 2004352900 is 44770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 190274436 + 1814078464 = 13794^2 + 42592^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2004352907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54171682 + ... + 54171718.

Almost surely, 2^2004352900 is an apocalyptic number.

2004352900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2004352900 is the 44770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004352900

2004352900 is an abundant number, since it is smaller than the sum of its proper divisors (2912809595).

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

2004352900 is an equidigital number, since it uses as much as digits as its factorization.

2004352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 2004352900 is about 1260.8344392893.

Multiplying 2004352900 by its sum of digits (25), we get a square (50108822500 = 223850²).

2004352900 divided by its sum of digits (25) gives a square (80174116 = 8954²).

Adding to 2004352900 its reverse (92534002), we get a palindrome (2096886902).

The spelling of 2004352900 in words is "two billion, four million, three hundred fifty-two thousand, nine hundred".