2001002000 has 160 divisors (see below), whose sum is σ = 5165428320. Its totient is φ = 747110400.

The previous prime is 2001001997. The next prime is 2001002011. The reversal of 2001002000 is 2001002.

It can be written as a sum of positive squares in 16 ways, for example, as 132342016 + 1868659984 = 11504^2 + 43228^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 7785872 + ... + 7786128.

It is an arithmetic number, because the mean of its divisors is an integer number (32283927).

Almost surely, 2^2001002000 is an apocalyptic number.

2001002000 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 2001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582714160).

2001002000 is an abundant number, since it is smaller than the sum of its proper divisors (3164426320).

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

2001002000 is a wasteful number, since it uses less digits than its factorization.

2001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2001002000 is about 44732.5608477762. The cubic root of 2001002000 is about 1260.1314215820.

Adding to 2001002000 its reverse (2001002), we get a palindrome (2003003002).

2001002000 divided by its reverse (2001002) gives a cube (1000 = 10³).

The spelling of 2001002000 in words is "two billion, one million, two thousand".