2004002000000 has 1512 divisors, whose sum is σ = 6909430405815. Its totient is φ = 576576000000.

The previous prime is 2004001999999. The next prime is 2004002000003. The reversal of 2004002000000 is 2004002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 2002089162304 + 1912837696 = 1414952^2 + 43736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1001000.

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

It is not an unprimeable number, because it can be changed into a prime (2004002000003) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 154153999994 + ... + 154154000006.

Almost surely, 2^{2004002000000} is an apocalyptic number.

2004002000000 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 2004002000000

2004002000000 is an abundant number, since it is smaller than the sum of its proper divisors (4905428405815).

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

2004002000000 is an frugal number, since it uses more digits than its factorization.

2004002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 38 counting only the distinct ones).

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

Adding to 2004002000000 its reverse (2004002), we get a palindrome (2004004004002).

2004002000000 divided by its reverse (2004002) gives a 6-th power (1000000 = 10⁶).

The spelling of 2004002000000 in words is "two trillion, four billion, two million", and thus it is an aban number and an eban number.