2011010220 has 192 divisors, whose sum is σ = 6509462400. Its totient is φ = 514805760.

The previous prime is 2011010203. The next prime is 2011010231. The reversal of 2011010220 is 220101102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4400232 + ... + 4400688.

It is an arithmetic number, because the mean of its divisors is an integer number (33903450).

Almost surely, 2^2011010220 is an apocalyptic number.

2011010220 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 2011010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254731200).

2011010220 is an abundant number, since it is smaller than the sum of its proper divisors (4498452180).

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

2011010220 is a wasteful number, since it uses less digits than its factorization.

2011010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011010220 is about 44844.2885995530. The cubic root of 2011010220 is about 1262.2288215395.

Adding to 2011010220 its reverse (220101102), we get a palindrome (2231111322).

The spelling of 2011010220 in words is "two billion, eleven million, ten thousand, two hundred twenty".