2010180507210 has 96 divisors (see below), whose sum is σ = 5300769651840. Its totient is φ = 528429552000.

The previous prime is 2010180507173. The next prime is 2010180507211. The reversal of 2010180507210 is 127050810102.

It is not an unprimeable number, because it can be changed into a prime (2010180507211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65808121 + ... + 65838659.

It is an arithmetic number, because the mean of its divisors is an integer number (55216350540).

Almost surely, 2^{2010180507210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010180507210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650384825920).

2010180507210 is an abundant number, since it is smaller than the sum of its proper divisors (3290589144630).

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

2010180507210 is a wasteful number, since it uses less digits than its factorization.

2010180507210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40924 (or 40921 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 2010180507210 in words is "two trillion, ten billion, one hundred eighty million, five hundred seven thousand, two hundred ten".