2884814434216 has 256 divisors, whose sum is σ = 6613032222720. Its totient is φ = 1161879552000.

The previous prime is 2884814434199. The next prime is 2884814434297. The reversal of 2884814434216 is 6124344184882.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2798073621 + ... + 2798074651.

It is an arithmetic number, because the mean of its divisors is an integer number (25832157120).

Almost surely, 2^{2884814434216} is an apocalyptic number.

2884814434216 is a gapful number since it is divisible by the number (26) 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 2884814434216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306516111360).

2884814434216 is an abundant number, since it is smaller than the sum of its proper divisors (3728217788504).

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

2884814434216 is a wasteful number, since it uses less digits than its factorization.

2884814434216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 55.

The spelling of 2884814434216 in words is "two trillion, eight hundred eighty-four billion, eight hundred fourteen million, four hundred thirty-four thousand, two hundred sixteen".