2000004000 has 96 divisors (see below), whose sum is σ = 6552052416. Its totient is φ = 533331200.

The previous prime is 2000003983. The next prime is 2000004023. The reversal of 2000004000 is 4000002.

2000004000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 2000004000.

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, 71334 + ... + 95333.

It is an arithmetic number, because the mean of its divisors is an integer number (68250546).

Almost surely, 2^2000004000 is an apocalyptic number.

2000004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000004000 is an abundant number, since it is smaller than the sum of its proper divisors (4552048416).

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

2000004000 is a wasteful number, since it uses less digits than its factorization.

2000004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166695 (or 166677 counting only the distinct ones).

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

The square root of 2000004000 is about 44721.4042713330. The cubic root of 2000004000 is about 1259.9218898417.

Adding to 2000004000 its reverse (4000002), we get a palindrome (2004004002).

The spelling of 2000004000 in words is "two billion, four thousand", and thus it is an eban number.