2000504000 has 224 divisors, whose sum is σ = 5477621760. Its totient is φ = 717696000.

The previous prime is 2000503991. The next prime is 2000504039. The reversal of 2000504000 is 4050002.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11175911 + ... + 11176089.

Almost surely, 2^2000504000 is an apocalyptic number.

2000504000 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 2000504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738810880).

2000504000 is an abundant number, since it is smaller than the sum of its proper divisors (3477117760).

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

2000504000 is a wasteful number, since it uses less digits than its factorization.

2000504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2000504000 is about 44726.9940863457. The cubic root of 2000504000 is about 1260.0268743743.

Adding to 2000504000 its reverse (4050002), we get a palindrome (2004554002).

The spelling of 2000504000 in words is "two billion, five hundred four thousand".