2816352 has 144 divisors (see below), whose sum is σ = 10063872. Its totient is φ = 725760.

The previous prime is 2816311. The next prime is 2816353. The reversal of 2816352 is 2536182.

2816352 is a `hidden beast` number, since 28 + 1 + 635 + 2 = 666.

2816352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22113 + ... + 22239.

It is an arithmetic number, because the mean of its divisors is an integer number (69888).

2^2816352 is an apocalyptic number.

2816352 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 2816352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936).

2816352 is an abundant number, since it is smaller than the sum of its proper divisors (7247520).

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

2816352 is a wasteful number, since it uses less digits than its factorization.

2816352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2816352 is about 1678.1990346797. The cubic root of 2816352 is about 141.2198170818.

The spelling of 2816352 in words is "two million, eight hundred sixteen thousand, three hundred fifty-two".