2106328224 has 384 divisors, whose sum is σ = 7754600448. Its totient is φ = 482549760.

The previous prime is 2106328223. The next prime is 2106328243. The reversal of 2106328224 is 4228236012.

It is a junction number, because it is equal to n+sod(n) for n = 2106328191 and 2106328200.

It is not an unprimeable number, because it can be changed into a prime (2106328223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2209732 + ... + 2210684.

It is an arithmetic number, because the mean of its divisors is an integer number (20194272).

Almost surely, 2^2106328224 is an apocalyptic number.

2106328224 is a gapful number since it is divisible by the number (24) 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 2106328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877300224).

2106328224 is an abundant number, since it is smaller than the sum of its proper divisors (5648272224).

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

2106328224 is a wasteful number, since it uses less digits than its factorization.

2106328224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2106328224 is about 45894.7515953622. The cubic root of 2106328224 is about 1281.8641912271.

The spelling of 2106328224 in words is "two billion, one hundred six million, three hundred twenty-eight thousand, two hundred twenty-four".