2016679680 has 360 divisors, whose sum is σ = 7372233792. Its totient is φ = 526196736.

The previous prime is 2016679663. The next prime is 2016679697. The reversal of 2016679680 is 869766102.

It is an interprime number because it is at equal distance from previous prime (2016679663) and next prime (2016679697).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5494857 + ... + 5495223.

Almost surely, 2^2016679680 is an apocalyptic number.

2016679680 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 2016679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686116896).

2016679680 is an abundant number, since it is smaller than the sum of its proper divisors (5355554112).

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

2016679680 is an equidigital number, since it uses as much as digits as its factorization.

2016679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2016679680 is about 44907.4568418208. The cubic root of 2016679680 is about 1263.4138712812.

The spelling of 2016679680 in words is "two billion, sixteen million, six hundred seventy-nine thousand, six hundred eighty".