2106347328 has 336 divisors, whose sum is σ = 6869850624. Its totient is φ = 637009920.

The previous prime is 2106347317. The next prime is 2106347333. The reversal of 2106347328 is 8237436012.

It is a happy number.

2106347328 is a `hidden beast` number, since 2 + 10 + 634 + 7 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2106347292 and 2106347301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195776 + ... + 8196032.

It is an arithmetic number, because the mean of its divisors is an integer number (20445984).

Almost surely, 2^2106347328 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 2106347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434925312).

2106347328 is an abundant number, since it is smaller than the sum of its proper divisors (4763503296).

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

2106347328 is a wasteful number, since it uses less digits than its factorization.

2106347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2106347328 is about 45894.9597232637. The cubic root of 2106347328 is about 1281.8680666375.

The spelling of 2106347328 in words is "two billion, one hundred six million, three hundred forty-seven thousand, three hundred twenty-eight".