2664365760 has 336 divisors, whose sum is σ = 10533010176. Its totient is φ = 605546496.

The previous prime is 2664365741. The next prime is 2664365779. The reversal of 2664365760 is 675634662.

It is an interprime number because it is at equal distance from previous prime (2664365741) and next prime (2664365779).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5705047 + ... + 5705513.

Almost surely, 2^2664365760 is an apocalyptic number.

2664365760 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 2664365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266505088).

2664365760 is an abundant number, since it is smaller than the sum of its proper divisors (7868644416).

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

2664365760 is a wasteful number, since it uses less digits than its factorization.

2664365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 2664365760 is about 51617.4947086741. The cubic root of 2664365760 is about 1386.3235940399.

The spelling of 2664365760 in words is "two billion, six hundred sixty-four million, three hundred sixty-five thousand, seven hundred sixty".