2003066081628 has 144 divisors (see below), whose sum is σ = 5145655267200. Its totient is φ = 604734768000.

The previous prime is 2003066081591. The next prime is 2003066081663. The reversal of 2003066081628 is 8261806603002.

It is a self number, because there is not a number n which added to its sum of digits gives 2003066081628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364124878 + ... + 364130378.

Almost surely, 2^{2003066081628} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003066081628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572827633600).

2003066081628 is an abundant number, since it is smaller than the sum of its proper divisors (3142589185572).

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

2003066081628 is a wasteful number, since it uses less digits than its factorization.

2003066081628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8592 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2003066081628 in words is "two trillion, three billion, sixty-six million, eighty-one thousand, six hundred twenty-eight".