2816998272 has 384 divisors, whose sum is σ = 9348618240. Its totient is φ = 806400000.

The previous prime is 2816998267. The next prime is 2816998297. The reversal of 2816998272 is 2728996182.

2816998272 is a `hidden beast` number, since 281 + 6 + 9 + 98 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 27891022 + ... + 27891122.

It is an arithmetic number, because the mean of its divisors is an integer number (24345360).

Almost surely, 2^2816998272 is an apocalyptic number.

2816998272 is a gapful number since it is divisible by the number (22) 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 2816998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674309120).

2816998272 is an abundant number, since it is smaller than the sum of its proper divisors (6531619968).

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

2816998272 is a wasteful number, since it uses less digits than its factorization.

2816998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2816998272 is about 53075.4017601374. The cubic root of 2816998272 is about 1412.3061822141.

The spelling of 2816998272 in words is "two billion, eight hundred sixteen million, nine hundred ninety-eight thousand, two hundred seventy-two".