2016645120 has 416 divisors, whose sum is σ = 8209347840. Its totient is φ = 460062720.

The previous prime is 2016645109. The next prime is 2016645131. The reversal of 2016645120 is 215466102.

2016645120 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 645 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2016645109) and next prime (2016645131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870460 + ... + 3870980.

Almost surely, 2^2016645120 is an apocalyptic number.

2016645120 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 2016645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104673920).

2016645120 is an abundant number, since it is smaller than the sum of its proper divisors (6192702720).

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

2016645120 is an equidigital number, since it uses as much as digits as its factorization.

2016645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2016645120 is about 44907.0720488433. The cubic root of 2016645120 is about 1263.4066541654.

The spelling of 2016645120 in words is "two billion, sixteen million, six hundred forty-five thousand, one hundred twenty".