2010140410300 has 288 divisors, whose sum is σ = 5166479324160. Its totient is φ = 671011200000.

The previous prime is 2010140410277. The next prime is 2010140410303. The reversal of 2010140410300 is 30140410102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010140410303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99202170 + ... + 99222430.

It is an arithmetic number, because the mean of its divisors is an integer number (17939164320).

Almost surely, 2^{2010140410300} is an apocalyptic number.

2010140410300 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 2010140410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583239662080).

2010140410300 is an abundant number, since it is smaller than the sum of its proper divisors (3156338913860).

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

2010140410300 is a wasteful number, since it uses less digits than its factorization.

2010140410300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20453 (or 20446 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2010140410300 its reverse (30140410102), we get a palindrome (2040280820402).

The spelling of 2010140410300 in words is "two trillion, ten billion, one hundred forty million, four hundred ten thousand, three hundred".