2010442030200 has 144 divisors (see below), whose sum is σ = 6754991536800. Its totient is φ = 535859251200.

The previous prime is 2010442030187. The next prime is 2010442030211. The reversal of 2010442030200 is 20302440102.

2010442030200 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 420 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3477441 + ... + 4014159.

It is an arithmetic number, because the mean of its divisors is an integer number (46909663450).

Almost surely, 2^{2010442030200} is an apocalyptic number.

2010442030200 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 2010442030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377495768400).

2010442030200 is an abundant number, since it is smaller than the sum of its proper divisors (4744549506600).

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

2010442030200 is a wasteful number, since it uses less digits than its factorization.

2010442030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538822 (or 538810 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2010442030200 its reverse (20302440102), we get a palindrome (2030744470302).

The spelling of 2010442030200 in words is "two trillion, ten billion, four hundred forty-two million, thirty thousand, two hundred".