2010323133504 has 448 divisors, whose sum is σ = 6828519744000. Its totient is φ = 568085446656.

The previous prime is 2010323133493. The next prime is 2010323133517. The reversal of 2010323133504 is 4053313230102.

2010323133504 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 3 + 23 + 133 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2010323133504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788670022 + ... + 788672570.

Almost surely, 2^{2010323133504} is an apocalyptic number.

2010323133504 is a gapful number since it is divisible by the number (24) 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 2010323133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414259872000).

2010323133504 is an abundant number, since it is smaller than the sum of its proper divisors (4818196610496).

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

2010323133504 is a wasteful number, since it uses less digits than its factorization.

2010323133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 2010323133504 its reverse (4053313230102), we get a palindrome (6063636363606).

The spelling of 2010323133504 in words is "two trillion, ten billion, three hundred twenty-three million, one hundred thirty-three thousand, five hundred four".