2010442504320 has 192 divisors, whose sum is σ = 7073297314200. Its totient is φ = 526002487296.

The previous prime is 2010442504319. The next prime is 2010442504339. The reversal of 2010442504320 is 234052440102.

2010442504320 is a `hidden beast` number, since 20 + 104 + 4 + 2 + 504 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1959036918336 + 51405585984 = 1399656^2 + 226728^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2987505 + ... + 3598064.

Almost surely, 2^{2010442504320} is an apocalyptic number.

2010442504320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010442504320 is an abundant number, since it is smaller than the sum of its proper divisors (5062854809880).

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

2010442504320 is a wasteful number, since it uses less digits than its factorization.

2010442504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585647 (or 6585632 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2010442504320 its reverse (234052440102), we get a palindrome (2244494944422).

The spelling of 2010442504320 in words is "two trillion, ten billion, four hundred forty-two million, five hundred four thousand, three hundred twenty".