2000005000 has 80 divisors (see below), whose sum is σ = 5355535680. Its totient is φ = 685704000.

The previous prime is 2000004991. The next prime is 2000005003. The reversal of 2000005000 is 5000002.

It is a sliding number, since 2000005000 = 5000 + 2000000000 and 1/5000 + 1/2000000000 = 0.0002000005000.

It is a Harshad number since it is a multiple of its sum of digits (7).

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

It is not an unprimeable number, because it can be changed into a prime (2000005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6429 + ... + 63571.

It is an arithmetic number, because the mean of its divisors is an integer number (66944196).

Almost surely, 2^2000005000 is an apocalyptic number.

2000005000 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 2000005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677767840).

2000005000 is an abundant number, since it is smaller than the sum of its proper divisors (3355530680).

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

2000005000 is an equidigital number, since it uses as much as digits as its factorization.

2000005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57176 (or 57157 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 2000005000 is about 44721.4154516603. The cubic root of 2000005000 is about 1259.9220998282.

Adding to 2000005000 its reverse (5000002), we get a palindrome (2005005002).

It can be divided in two parts, 200000 and 5000, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 2000005000 in words is "two billion, five thousand".