4000002000 has 80 divisors (see below), whose sum is σ = 12896025792. Its totient is φ = 1066665600.

The previous prime is 4000001977. The next prime is 4000002001. The reversal of 4000002000 is 2000004.

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 (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4000002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000002001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 327334 + ... + 339333.

Almost surely, 2^4000002000 is an apocalyptic number.

4000002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000002000 is an abundant number, since it is smaller than the sum of its proper divisors (8896023792).

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

4000002000 is a wasteful number, since it uses less digits than its factorization.

4000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666693 (or 666677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4000002000 is about 63245.5690147539. The cubic root of 4000002000 is about 1587.4013165350.

Adding to 4000002000 its reverse (2000004), we get a palindrome (4002002004).

The spelling of 4000002000 in words is "four billion, two thousand", and thus it is an eban number.