2040002000 has 40 divisors (see below), whose sum is σ = 4932729672. Its totient is φ = 816000000.

The previous prime is 2040001991. The next prime is 2040002017. The reversal of 2040002000 is 2000402.

It can be written as a sum of positive squares in 4 ways, for example, as 54051904 + 1985950096 = 7352^2 + 44564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508001 + ... + 512000.

Almost surely, 2^2040002000 is an apocalyptic number.

2040002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040002000 is an abundant number, since it is smaller than the sum of its proper divisors (2892727672).

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

2040002000 is a wasteful number, since it uses less digits than its factorization.

2040002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020024 (or 1020008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2040002000 is about 45166.3813029116. The cubic root of 2040002000 is about 1268.2655555426.

Adding to 2040002000 its reverse (2000402), we get a palindrome (2042002402).

The spelling of 2040002000 in words is "two billion, forty million, two thousand", and thus it is an eban number.