2816848320 has 672 divisors, whose sum is σ = 11318662656. Its totient is φ = 584908800.

The previous prime is 2816848291. The next prime is 2816848339. The reversal of 2816848320 is 238486182.

It is a happy number.

2816848320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39673885 + ... + 39673955.

It is an arithmetic number, because the mean of its divisors is an integer number (16843248).

Almost surely, 2^2816848320 is an apocalyptic number.

2816848320 is a gapful number since it is divisible by the number (20) 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 2816848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659331328).

2816848320 is an abundant number, since it is smaller than the sum of its proper divisors (8501814336).

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

2816848320 is a wasteful number, since it uses less digits than its factorization.

2816848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2816848320 is about 53073.9891095440. The cubic root of 2816848320 is about 1412.2811222183.

The spelling of 2816848320 in words is "two billion, eight hundred sixteen million, eight hundred forty-eight thousand, three hundred twenty".