2010982024800 has 864 divisors, whose sum is σ = 8542598238720. Its totient is φ = 434858803200.

The previous prime is 2010982024769. The next prime is 2010982024903. The reversal of 2010982024800 is 84202890102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1303292829 + ... + 1303294371.

It is an arithmetic number, because the mean of its divisors is an integer number (9887266480).

Almost surely, 2^{2010982024800} is an apocalyptic number.

2010982024800 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 2010982024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271299119360).

2010982024800 is an abundant number, since it is smaller than the sum of its proper divisors (6531616213920).

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

2010982024800 is a wasteful number, since it uses less digits than its factorization.

2010982024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2010982024800 in words is "two trillion, ten billion, nine hundred eighty-two million, twenty-four thousand, eight hundred".