2000001872 has 80 divisors (see below), whose sum is σ = 4300058112. Its totient is φ = 893583360.

The previous prime is 2000001851. The next prime is 2000001881. The reversal of 2000001872 is 2781000002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3294593 + ... + 3295199.

Almost surely, 2^2000001872 is an apocalyptic number.

2000001872 is a gapful number since it is divisible by the number (22) 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 2000001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150029056).

2000001872 is an abundant number, since it is smaller than the sum of its proper divisors (2300056240).

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

2000001872 is a wasteful number, since it uses less digits than its factorization.

2000001872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2000001872 is about 44721.3804795872. The cubic root of 2000001872 is about 1259.9214429901.

Adding to 2000001872 its reverse (2781000002), we get a palindrome (4781001874).

The spelling of 2000001872 in words is "two billion, one thousand, eight hundred seventy-two".