2664316080 has 240 divisors, whose sum is σ = 9359400960. Its totient is φ = 678412800.

The previous prime is 2664316073. The next prime is 2664316087. The reversal of 2664316080 is 806134662.

2664316080 is a `hidden beast` number, since 2 + 6 + 6 + 43 + 1 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2664316073) and next prime (2664316087).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2664316087) 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 47 ways as a sum of consecutive naturals, for example, 1762525 + ... + 1764035.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 2^2664316080 is an apocalyptic number.

2664316080 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 2664316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679700480).

2664316080 is an abundant number, since it is smaller than the sum of its proper divisors (6695084880).

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

2664316080 is a wasteful number, since it uses less digits than its factorization.

2664316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2664316080 is about 51617.0134742412. The cubic root of 2664316080 is about 1386.3149774822.

The spelling of 2664316080 in words is "two billion, six hundred sixty-four million, three hundred sixteen thousand, eighty".