2010311120 has 80 divisors (see below), whose sum is σ = 4765944960. Its totient is φ = 788390400.

The previous prime is 2010311101. The next prime is 2010311123. The reversal of 2010311120 is 211130102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010311123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395661 + ... + 2396499.

It is an arithmetic number, because the mean of its divisors is an integer number (59574312).

Almost surely, 2^2010311120 is an apocalyptic number.

2010311120 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 2010311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382972480).

2010311120 is an abundant number, since it is smaller than the sum of its proper divisors (2755633840).

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

2010311120 is a wasteful number, since it uses less digits than its factorization.

2010311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2010311120 is about 44836.4931724148. The cubic root of 2010311120 is about 1262.0825390999.

Adding to 2010311120 its reverse (211130102), we get a palindrome (2221441222).

The spelling of 2010311120 in words is "two billion, ten million, three hundred eleven thousand, one hundred twenty".