2116684560 has 80 divisors (see below), whose sum is σ = 6572436480. Its totient is φ = 563527680.

The previous prime is 2116684547. The next prime is 2116684571. The reversal of 2116684560 is 654866112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 146961 + ... + 160719.

It is an arithmetic number, because the mean of its divisors is an integer number (82155456).

Almost surely, 2^2116684560 is an apocalyptic number.

2116684560 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 2116684560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286218240).

2116684560 is an abundant number, since it is smaller than the sum of its proper divisors (4455751920).

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

2116684560 is a wasteful number, since it uses less digits than its factorization.

2116684560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14416 (or 14410 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2116684560 is about 46007.4402678523. The cubic root of 2116684560 is about 1283.9616354838.

The spelling of 2116684560 in words is "two billion, one hundred sixteen million, six hundred eighty-four thousand, five hundred sixty".