2116715328 has 420 divisors, whose sum is σ = 7872759972. Its totient is φ = 557383680.

The previous prime is 2116715269. The next prime is 2116715333. The reversal of 2116715328 is 8235176112.

2116715328 is a `hidden beast` number, since 2 + 116 + 7 + 1 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1140277824 + 976437504 = 33768^2 + 31248^2 .

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 = 2116715292 and 2116715301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301888 + ... + 3302528.

Almost surely, 2^2116715328 is an apocalyptic number.

2116715328 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 2116715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936379986).

2116715328 is an abundant number, since it is smaller than the sum of its proper divisors (5756044644).

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

2116715328 is a wasteful number, since it uses less digits than its factorization.

2116715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 666 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2116715328 is about 46007.7746473354. The cubic root of 2116715328 is about 1283.9678566501.

The spelling of 2116715328 in words is "two billion, one hundred sixteen million, seven hundred fifteen thousand, three hundred twenty-eight".