2010311200 has 144 divisors (see below), whose sum is σ = 5296301640. Its totient is φ = 742277120.

The previous prime is 2010311167. The next prime is 2010311203. The reversal of 2010311200 is 21130102.

It can be written as a sum of positive squares in 12 ways, for example, as 599858064 + 1410453136 = 24492^2 + 37556^2 .

It is a super-2 number, since 2×2010311200² = 8082702241690880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2010311203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719406 + ... + 722194.

Almost surely, 2^2010311200 is an apocalyptic number.

2010311200 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 2010311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648150820).

2010311200 is an abundant number, since it is smaller than the sum of its proper divisors (3285990440).

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

2010311200 is a wasteful number, since it uses less digits than its factorization.

2010311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2010311200 is about 44836.4940645452. The cubic root of 2010311200 is about 1262.0825558413.

Adding to 2010311200 its reverse (21130102), we get a palindrome (2031441302).

The spelling of 2010311200 in words is "two billion, ten million, three hundred eleven thousand, two hundred".