2000688303600 has 1680 divisors, whose sum is σ = 8792882457600. Its totient is φ = 427092756480.

The previous prime is 2000688303583. The next prime is 2000688303623. The reversal of 2000688303600 is 63038860002.

2000688303600 is a `hidden beast` number, since 200 + 0 + 68 + 8 + 30 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3063840874 + ... + 3063841526.

Almost surely, 2^{2000688303600} is an apocalyptic number.

2000688303600 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 2000688303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396441228800).

2000688303600 is an abundant number, since it is smaller than the sum of its proper divisors (6792194154000).

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

2000688303600 is a wasteful number, since it uses less digits than its factorization.

2000688303600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2000688303600 in words is "two trillion, six hundred eighty-eight million, three hundred three thousand, six hundred".