2010213312 has 112 divisors (see below), whose sum is σ = 5456358912. Its totient is φ = 652861440.

The previous prime is 2010213301. The next prime is 2010213341. The reversal of 2010213312 is 2133120102.

It is a junction number, because it is equal to n+sod(n) for n = 2010213291 and 2010213300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986608 + ... + 2987280.

Almost surely, 2^2010213312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728179456).

2010213312 is an abundant number, since it is smaller than the sum of its proper divisors (3446145600).

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

2010213312 is a wasteful number, since it uses less digits than its factorization.

2010213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2010213312 is about 44835.4024404822. The cubic root of 2010213312 is about 1262.0620706643.

Adding to 2010213312 its reverse (2133120102), we get a palindrome (4143333414).

The spelling of 2010213312 in words is "two billion, ten million, two hundred thirteen thousand, three hundred twelve".