2016368640 has 960 divisors, whose sum is σ = 8990261280. Its totient is φ = 424673280.

The previous prime is 2016368569. The next prime is 2016368647. The reversal of 2016368640 is 468636102.

2016368640 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 3 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 2016368595 and 2016368604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016368647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118609912 + ... + 118609928.

Almost surely, 2^2016368640 is an apocalyptic number.

2016368640 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 2016368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495130640).

2016368640 is an abundant number, since it is smaller than the sum of its proper divisors (6973892640).

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

2016368640 is a wasteful number, since it uses less digits than its factorization.

2016368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2016368640 is about 44903.9935863170. The cubic root of 2016368640 is about 1263.3489142697.

It can be divided in two parts, 201636 and 8640, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2016368640 in words is "two billion, sixteen million, three hundred sixty-eight thousand, six hundred forty".