2106509328 has 600 divisors, whose sum is σ = 8141770560. Its totient is φ = 513216000.

The previous prime is 2106509311. The next prime is 2106509329. The reversal of 2106509328 is 8239056012.

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 = 2106509292 and 2106509301.

It is not an unprimeable number, because it can be changed into a prime (2106509329) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20856478 + ... + 20856578.

Almost surely, 2^2106509328 is an apocalyptic number.

2106509328 is a gapful number since it is divisible by the number (28) 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 2106509328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070885280).

2106509328 is an abundant number, since it is smaller than the sum of its proper divisors (6035261232).

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

2106509328 is a wasteful number, since it uses less digits than its factorization.

2106509328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2106509328 is about 45896.7245890162. The cubic root of 2106509328 is about 1281.9009287872.

The spelling of 2106509328 in words is "two billion, one hundred six million, five hundred nine thousand, three hundred twenty-eight".