2016541968 has 40 divisors (see below), whose sum is σ = 5953601088. Its totient is φ = 576154752.

The previous prime is 2016541963. The next prime is 2016541973. The reversal of 2016541968 is 8691456102.

It is an interprime number because it is at equal distance from previous prime (2016541963) and next prime (2016541973).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2016541963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3000471 + ... + 3001142.

Almost surely, 2^2016541968 is an apocalyptic number.

2016541968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2016541968 is an abundant number, since it is smaller than the sum of its proper divisors (3937059120).

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

2016541968 is a wasteful number, since it uses less digits than its factorization.

2016541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001631 (or 6001625 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2016541968 is about 44905.9235290847. The cubic root of 2016541968 is about 1263.3851125889.

The spelling of 2016541968 in words is "two billion, sixteen million, five hundred forty-one thousand, nine hundred sixty-eight".