2664368640 has 240 divisors, whose sum is σ = 9571449888. Its totient is φ = 710332416.

The previous prime is 2664368633. The next prime is 2664368647. The reversal of 2664368640 is 468634662.

It is an interprime number because it is at equal distance from previous prime (2664368633) and next prime (2664368647).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2664368647) 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, 619939 + ... + 624221.

Almost surely, 2^2664368640 is an apocalyptic number.

2664368640 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 2664368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785724944).

2664368640 is an abundant number, since it is smaller than the sum of its proper divisors (6907081248).

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

2664368640 is an frugal number, since it uses more digits than its factorization.

2664368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 2664368640 is about 51617.5226061848. The cubic root of 2664368640 is about 1386.3240935472.

The spelling of 2664368640 in words is "two billion, six hundred sixty-four million, three hundred sixty-eight thousand, six hundred forty".