2006283645800 has 144 divisors (see below), whose sum is σ = 5438550348000. Its totient is φ = 686300307840.

The previous prime is 2006283645791. The next prime is 2006283645841. The reversal of 2006283645800 is 85463826002.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4069031 + ... + 4535369.

It is an arithmetic number, because the mean of its divisors is an integer number (37767710750).

Almost surely, 2^{2006283645800} is an apocalyptic number.

2006283645800 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 2006283645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719275174000).

2006283645800 is an abundant number, since it is smaller than the sum of its proper divisors (3432266702200).

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

2006283645800 is a wasteful number, since it uses less digits than its factorization.

2006283645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466808 (or 466792 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 2006283645800 in words is "two trillion, six billion, two hundred eighty-three million, six hundred forty-five thousand, eight hundred".