2010442320320 has 224 divisors, whose sum is σ = 5794919584128. Its totient is φ = 648545697792.

The previous prime is 2010442320317. The next prime is 2010442320329. The reversal of 2010442320320 is 230232440102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010442320329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166517804 + ... + 166529876.

Almost surely, 2^{2010442320320} is an apocalyptic number.

2010442320320 is a gapful number since it is divisible by the number (20) 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 2010442320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897459792064).

2010442320320 is an abundant number, since it is smaller than the sum of its proper divisors (3784477263808).

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

2010442320320 is a wasteful number, since it uses less digits than its factorization.

2010442320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487 (or 16477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2010442320320 its reverse (230232440102), we get a palindrome (2240674760422).

The spelling of 2010442320320 in words is "two trillion, ten billion, four hundred forty-two million, three hundred twenty thousand, three hundred twenty".