2817368064 has 336 divisors, whose sum is σ = 9568720512. Its totient is φ = 782106624.

The previous prime is 2817368063. The next prime is 2817368077. The reversal of 2817368064 is 4608637182.

2817368064 is a `hidden beast` number, since 281 + 7 + 368 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2817368063) 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, 27353037 + ... + 27353139.

Almost surely, 2^2817368064 is an apocalyptic number.

2817368064 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 2817368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784360256).

2817368064 is an abundant number, since it is smaller than the sum of its proper divisors (6751352448).

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

2817368064 is a wasteful number, since it uses less digits than its factorization.

2817368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2817368064 is about 53078.8852934950. The cubic root of 2817368064 is about 1412.3679780959.

It can be divided in two parts, 2817 and 368064, that added together give a square (370881 = 609²).

The spelling of 2817368064 in words is "two billion, eight hundred seventeen million, three hundred sixty-eight thousand, sixty-four".