2004738500 has 24 divisors (see below), whose sum is σ = 4378349976. Its totient is φ = 801895200.

The previous prime is 2004738451. The next prime is 2004738503. The reversal of 2004738500 is 58374002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40653376 + 1964085124 = 6376^2 + 44318^2 .

It is not an unprimeable number, because it can be changed into a prime (2004738503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004239 + ... + 2005238.

It is an arithmetic number, because the mean of its divisors is an integer number (182431249).

Almost surely, 2^2004738500 is an apocalyptic number.

2004738500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2004738500 is an abundant number, since it is smaller than the sum of its proper divisors (2373611476).

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

2004738500 is a wasteful number, since it uses less digits than its factorization.

2004738500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009496 (or 4009484 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2004738500 is about 44774.3062481151. The cubic root of 2004738500 is about 1260.9152877576.

The spelling of 2004738500 in words is "two billion, four million, seven hundred thirty-eight thousand, five hundred".