2982542816016 has 135 divisors (see below), whose sum is σ = 8470375118023. Its totient is φ = 979694829120.

The previous prime is 2982542815999. The next prime is 2982542816021. The reversal of 2982542816016 is 6106182452892.

The square root of 2982542816016 is 1727004.

It is a perfect power (a square), and thus also a powerful number.

2982542816016 is a `hidden beast` number, since 2 + 9 + 8 + 2 + 5 + 4 + 28 + 1 + 601 + 6 = 666.

It is a super-2 number, since 2×2982542816016² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1471406395 + ... + 1471408421.

Almost surely, 2^{2982542816016} is an apocalyptic number.

2982542816016 is the 1727004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982542816016

2982542816016 is an abundant number, since it is smaller than the sum of its proper divisors (5487832302007).

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

2982542816016 is an frugal number, since it uses more digits than its factorization.

2982542816016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2982542816016 in words is "two trillion, nine hundred eighty-two billion, five hundred forty-two million, eight hundred sixteen thousand, sixteen".