2010186080 has 192 divisors, whose sum is σ = 5831626752. Its totient is φ = 639098880.

The previous prime is 2010186053. The next prime is 2010186091. The reversal of 2010186080 is 806810102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351097 + ... + 1352583.

It is an arithmetic number, because the mean of its divisors is an integer number (30373056).

Almost surely, 2^2010186080 is an apocalyptic number.

2010186080 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 2010186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915813376).

2010186080 is an abundant number, since it is smaller than the sum of its proper divisors (3821440672).

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

2010186080 is a wasteful number, since it uses less digits than its factorization.

2010186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 2010186080 is about 44835.0987508670. The cubic root of 2010186080 is about 1262.0563716622.

Adding to 2010186080 its reverse (806810102), we get a palindrome (2816996182).

The spelling of 2010186080 in words is "two billion, ten million, one hundred eighty-six thousand, eighty".