2010601889600 has 42 divisors (see below), whose sum is σ = 4947337278534. Its totient is φ = 804240755200.

The previous prime is 2010601889599. The next prime is 2010601889629. The reversal of 2010601889600 is 69881060102.

It can be written as a sum of positive squares in 3 ways, for example, as 37273708096 + 1973328181504 = 193064^2 + 1404752^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 628311491 + ... + 628314690.

It is an arithmetic number, because the mean of its divisors is an integer number (117793744727).

Almost surely, 2^{2010601889600} is an apocalyptic number.

2010601889600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010601889600 is an abundant number, since it is smaller than the sum of its proper divisors (2936735388934).

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

2010601889600 is a wasteful number, since it uses less digits than its factorization.

2010601889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256626203 (or 1256626188 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 2010601889600 in words is "two trillion, ten billion, six hundred one million, eight hundred eighty-nine thousand, six hundred".