2000185536672 has 72 divisors (see below), whose sum is σ = 5691524975136. Its totient is φ = 666318566016.

The previous prime is 2000185536641. The next prime is 2000185536689. The reversal of 2000185536672 is 2766355810002.

2000185536672 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 8 + 553 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2000185536672² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1665748 + ... + 2602899.

It is an arithmetic number, because the mean of its divisors is an integer number (79048957988).

Almost surely, 2^{2000185536672} is an apocalyptic number.

It is an amenable number.

2000185536672 is an abundant number, since it is smaller than the sum of its proper divisors (3691339438464).

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

2000185536672 is a wasteful number, since it uses less digits than its factorization.

2000185536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270290 (or 4270279 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2000185536672 in words is "two trillion, one hundred eighty-five million, five hundred thirty-six thousand, six hundred seventy-two".