2016735672 has 64 divisors (see below), whose sum is σ = 5771796480. Its totient is φ = 575240832.

The previous prime is 2016735671. The next prime is 2016735673. The reversal of 2016735672 is 2765376102.

It is an interprime number because it is at equal distance from previous prime (2016735671) and next prime (2016735673).

It is a self number, because there is not a number n which added to its sum of digits gives 2016735672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016735671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93193 + ... + 112775.

It is an arithmetic number, because the mean of its divisors is an integer number (90184320).

Almost surely, 2^2016735672 is an apocalyptic number.

It is an amenable number.

2016735672 is an abundant number, since it is smaller than the sum of its proper divisors (3755060808).

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

2016735672 is a wasteful number, since it uses less digits than its factorization.

2016735672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 2016735672 is about 44908.0802528899. The cubic root of 2016735672 is about 1263.4255638363.

The spelling of 2016735672 in words is "two billion, sixteen million, seven hundred thirty-five thousand, six hundred seventy-two".