2000217225552 has 480 divisors, whose sum is σ = 6554408491008. Its totient is φ = 511830918144.

The previous prime is 2000217225551. The next prime is 2000217225557. The reversal of 2000217225552 is 2555227120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000217225551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348763403 + ... + 1348764885.

Almost surely, 2^{2000217225552} 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 2000217225552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277204245504).

2000217225552 is an abundant number, since it is smaller than the sum of its proper divisors (4554191265456).

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

2000217225552 is a wasteful number, since it uses less digits than its factorization.

2000217225552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The spelling of 2000217225552 in words is "two trillion, two hundred seventeen million, two hundred twenty-five thousand, five hundred fifty-two".