2811320064 has 216 divisors, whose sum is σ = 9564219392. Its totient is φ = 777185280.

The previous prime is 2811320063. The next prime is 2811320069. The reversal of 2811320064 is 4600231182.

2811320064 is a `hidden beast` number, since 281 + 1 + 320 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811320063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497157 + ... + 502779.

Almost surely, 2^2811320064 is an apocalyptic number.

2811320064 is a gapful number since it is divisible by the number (24) 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 2811320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782109696).

2811320064 is an abundant number, since it is smaller than the sum of its proper divisors (6752899328).

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

2811320064 is a wasteful number, since it uses less digits than its factorization.

2811320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2811320064 is about 53021.8828786757. The cubic root of 2811320064 is about 1411.3566179701.

The spelling of 2811320064 in words is "two billion, eight hundred eleven million, three hundred twenty thousand, sixty-four".