2040210010000 has 100 divisors (see below), whose sum is σ = 4941261727600. Its totient is φ = 815801616000.

The previous prime is 2040210009977. The next prime is 2040210010049. The reversal of 2040210010000 is 100120402.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 30156211 + ... + 30223789.

It is an arithmetic number, because the mean of its divisors is an integer number (49412617276).

Almost surely, 2^{2040210010000} is an apocalyptic number.

2040210010000 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 2040210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470630863800).

2040210010000 is an abundant number, since it is smaller than the sum of its proper divisors (2901051717600).

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

2040210010000 is an equidigital number, since it uses as much as digits as its factorization.

2040210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70626 (or 70605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2040210010000 its reverse (100120402), we get a palindrome (2040310130402).

The spelling of 2040210010000 in words is "two trillion, forty billion, two hundred ten million, ten thousand".