2006000044800 has 108 divisors (see below), whose sum is σ = 6620218127880. Its totient is φ = 534933340160.

The previous prime is 2006000044757. The next prime is 2006000044843. The reversal of 2006000044800 is 84400006002.

It is an interprime number because it is at equal distance from previous prime (2006000044757) and next prime (2006000044843).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 52220385 + ... + 52258784.

Almost surely, 2^{2006000044800} is an apocalyptic number.

2006000044800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006000044800 is an abundant number, since it is smaller than the sum of its proper divisors (4614218083080).

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

2006000044800 is a wasteful number, since it uses less digits than its factorization.

2006000044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104479198 (or 104479179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 2006000044800 in words is "two trillion, six billion, forty-four thousand, eight hundred".