2816795520 has 1024 divisors, whose sum is σ = 13042944000. Its totient is φ = 557383680.

The previous prime is 2816795419. The next prime is 2816795537. The reversal of 2816795520 is 255976182.

2816795520 is a `hidden beast` number, since 28 + 1 + 6 + 79 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38586204 + ... + 38586276.

It is an arithmetic number, because the mean of its divisors is an integer number (12737250).

Almost surely, 2^2816795520 is an apocalyptic number.

2816795520 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 2816795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521472000).

2816795520 is an abundant number, since it is smaller than the sum of its proper divisors (10226148480).

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

2816795520 is a wasteful number, since it uses less digits than its factorization.

2816795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2816795520 is about 53073.4916884126. The cubic root of 2816795520 is about 1412.2722980644.

The spelling of 2816795520 in words is "two billion, eight hundred sixteen million, seven hundred ninety-five thousand, five hundred twenty".