2816314248 has 96 divisors (see below), whose sum is σ = 8159470560. Its totient is φ = 803205120.

The previous prime is 2816314243. The next prime is 2816314253. The reversal of 2816314248 is 8424136182.

It is an interprime number because it is at equal distance from previous prime (2816314243) and next prime (2816314253).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2816314243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57840 + ... + 94752.

It is an arithmetic number, because the mean of its divisors is an integer number (84994485).

Almost surely, 2^2816314248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2816314248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079735280).

2816314248 is an abundant number, since it is smaller than the sum of its proper divisors (5343156312).

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

2816314248 is a wasteful number, since it uses less digits than its factorization.

2816314248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967 (or 36946 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 2816314248 is about 53068.9574798676. The cubic root of 2816314248 is about 1412.1918608179.

The spelling of 2816314248 in words is "two billion, eight hundred sixteen million, three hundred fourteen thousand, two hundred forty-eight".