2985280716384 has 72 divisors (see below), whose sum is σ = 8500044374640. Its totient is φ = 993844946688.

The previous prime is 2985280716359. The next prime is 2985280716403. The reversal of 2985280716384 is 4836170825892.

2985280716384 is a `hidden beast` number, since 2 + 9 + 8 + 528 + 0 + 71 + 6 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2985280716384³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6273324 + ... + 6732395.

It is an arithmetic number, because the mean of its divisors is an integer number (118056171870).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2985280716384 = 5970561432768, but 3⋅2985280716384 = 8955842149152 is not.

Almost surely, 2^{2985280716384} is an apocalyptic number.

2985280716384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2985280716384 is an abundant number, since it is smaller than the sum of its proper divisors (5514763658256).

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

2985280716384 is a wasteful number, since it uses less digits than its factorization.

2985280716384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006532 (or 13006521 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2985280716384 in words is "two trillion, nine hundred eighty-five billion, two hundred eighty million, seven hundred sixteen thousand, three hundred eighty-four".