2112033220 has 72 divisors (see below), whose sum is σ = 4923969624. Its totient is φ = 760320000.

The previous prime is 2112033211. The next prime is 2112033227. The reversal of 2112033220 is 223302112.

It can be written as a sum of positive squares in 4 ways, for example, as 191490244 + 1920542976 = 13838^2 + 43824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112033194 and 2112033203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112033227) 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, 240100 + ... + 248740.

It is an arithmetic number, because the mean of its divisors is an integer number (68388467).

Almost surely, 2^2112033220 is an apocalyptic number.

2112033220 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 2112033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461984812).

2112033220 is an abundant number, since it is smaller than the sum of its proper divisors (2811936404).

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

2112033220 is a wasteful number, since it uses less digits than its factorization.

2112033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2112033220 is about 45956.8625996162. The cubic root of 2112033220 is about 1283.0204588753.

Adding to 2112033220 its reverse (223302112), we get a palindrome (2335335332).

The spelling of 2112033220 in words is "two billion, one hundred twelve million, thirty-three thousand, two hundred twenty".