2016768800 has 144 divisors (see below), whose sum is σ = 5259038400. Its totient is φ = 753392640.

The previous prime is 2016768799. The next prime is 2016768811. The reversal of 2016768800 is 88676102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789926 + ... + 792474.

It is an arithmetic number, because the mean of its divisors is an integer number (36521100).

Almost surely, 2^2016768800 is an apocalyptic number.

2016768800 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 2016768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629519200).

2016768800 is an abundant number, since it is smaller than the sum of its proper divisors (3242269600).

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

2016768800 is a wasteful number, since it uses less digits than its factorization.

2016768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2016768800 is about 44908.4490936839. The cubic root of 2016768800 is about 1263.4324817042.

The spelling of 2016768800 in words is "two billion, sixteen million, seven hundred sixty-eight thousand, eight hundred".