2000217661988 has 72 divisors (see below), whose sum is σ = 4392392256504. Its totient is φ = 789977664000.

The previous prime is 2000217661961. The next prime is 2000217661999. The reversal of 2000217661988 is 8891667120002.

It can be written as a sum of positive squares in 4 ways, for example, as 751675128064 + 1248542533924 = 866992^2 + 1117382^2 .

It is a super-2 number, since 2×2000217661988² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878258 + ... + 2184438.

It is an arithmetic number, because the mean of its divisors is an integer number (61005448007).

Almost surely, 2^{2000217661988} is an apocalyptic number.

2000217661988 is a gapful number since it is divisible by the number (28) 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 2000217661988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196196128252).

2000217661988 is an abundant number, since it is smaller than the sum of its proper divisors (2392174594516).

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

2000217661988 is a wasteful number, since it uses less digits than its factorization.

2000217661988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306813 (or 1306804 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 2000217661988 in words is "two trillion, two hundred seventeen million, six hundred sixty-one thousand, nine hundred eighty-eight".