2000002000 has 80 divisors (see below), whose sum is σ = 4884379344. Its totient is φ = 792000000.

The previous prime is 2000001973. The next prime is 2000002031. The reversal of 2000002000 is 2000002.

It can be written as a sum of positive squares in 8 ways, for example, as 839056 + 1999162944 = 916^2 + 44712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (4).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197050 + ... + 206950.

Almost surely, 2^2000002000 is an apocalyptic number.

2000002000 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 2000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442189672).

2000002000 is an abundant number, since it is smaller than the sum of its proper divisors (2884377344).

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

2000002000 is a wasteful number, since it uses less digits than its factorization.

2000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10025 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2000002000 is about 44721.3819106700. The cubic root of 2000002000 is about 1259.9214698684.

Adding to 2000002000 its reverse (2000002), we get a palindrome (2002002002).

2000002000 divided by its reverse (2000002) gives a cube (1000 = 10³).

It can be divided in two parts, 200000 and 2000, that multiplied together give a square (400000000 = 20000²).

The spelling of 2000002000 in words is "two billion, two thousand", and thus it is an eban number.