2016502771200 has 480 divisors, whose sum is σ = 7021451015040. Its totient is φ = 508745318400.

The previous prime is 2016502771187. The next prime is 2016502771201. The reversal of 2016502771200 is 21772056102.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016502771201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744920247 + ... + 744922953.

It is an arithmetic number, because the mean of its divisors is an integer number (14628022948).

Almost surely, 2^{2016502771200} is an apocalyptic number.

2016502771200 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 2016502771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510725507520).

2016502771200 is an abundant number, since it is smaller than the sum of its proper divisors (5004948243840).

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

2016502771200 is a wasteful number, since it uses less digits than its factorization.

2016502771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 2016502771200 in words is "two trillion, sixteen billion, five hundred two million, seven hundred seventy-one thousand, two hundred".