2000688401712 has 320 divisors, whose sum is σ = 6990126603264. Its totient is φ = 476182609920.

The previous prime is 2000688401711. The next prime is 2000688401743. The reversal of 2000688401712 is 2171048860002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2000688401711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6430608 + ... + 6734544.

Almost surely, 2^{2000688401712} is an apocalyptic number.

2000688401712 is a gapful number since it is divisible by the number (22) 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 2000688401712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495063301632).

2000688401712 is an abundant number, since it is smaller than the sum of its proper divisors (4989438201552).

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

2000688401712 is a wasteful number, since it uses less digits than its factorization.

2000688401712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304116 (or 304110 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 2000688401712 in words is "two trillion, six hundred eighty-eight million, four hundred one thousand, seven hundred twelve".