2116410660 has 288 divisors, whose sum is σ = 8150849280. Its totient is φ = 446404608.

The previous prime is 2116410649. The next prime is 2116410719. The reversal of 2116410660 is 660146112.

2116410660 is a `hidden beast` number, since 2 + 11 + 641 + 0 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637164 + ... + 640476.

It is an arithmetic number, because the mean of its divisors is an integer number (28301560).

Almost surely, 2^2116410660 is an apocalyptic number.

2116410660 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 2116410660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075424640).

2116410660 is an abundant number, since it is smaller than the sum of its proper divisors (6034438620).

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

2116410660 is a wasteful number, since it uses less digits than its factorization.

2116410660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2116410660 is about 46004.4634791017. The cubic root of 2116410660 is about 1283.9062513438.

Adding to 2116410660 its reverse (660146112), we get a palindrome (2776556772).

The spelling of 2116410660 in words is "two billion, one hundred sixteen million, four hundred ten thousand, six hundred sixty".