2010133424000 has 256 divisors, whose sum is σ = 5665413499200. Its totient is φ = 703138406400.

The previous prime is 2010133423999. The next prime is 2010133424027. The reversal of 2010133424000 is 4243310102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 3697682 + ... + 4206318.

Almost surely, 2^{2010133424000} is an apocalyptic number.

2010133424000 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 2010133424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832706749600).

2010133424000 is an abundant number, since it is smaller than the sum of its proper divisors (3655280075200).

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

2010133424000 is a wasteful number, since it uses less digits than its factorization.

2010133424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508698 (or 508676 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2010133424000 its reverse (4243310102), we get a palindrome (2014376734102).

The spelling of 2010133424000 in words is "two trillion, ten billion, one hundred thirty-three million, four hundred twenty-four thousand".