2004030000 has 300 divisors, whose sum is σ = 8012097808. Its totient is φ = 457920000.

The previous prime is 2004029987. The next prime is 2004030013. The reversal of 2004030000 is 304002.

It is an interprime number because it is at equal distance from previous prime (2004029987) and next prime (2004030013).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×2004030000² = 8032272481800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 628410 + ... + 631590.

Almost surely, 2^2004030000 is an apocalyptic number.

2004030000 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 2004030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006048904).

2004030000 is an abundant number, since it is smaller than the sum of its proper divisors (6008067808).

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

2004030000 is a wasteful number, since it uses less digits than its factorization.

2004030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2004030000 is about 44766.3936452335. The cubic root of 2004030000 is about 1260.7667291063.

Adding to 2004030000 its reverse (304002), we get a palindrome (2004334002).

The spelling of 2004030000 in words is "two billion, four million, thirty thousand", and thus it is an eban number.