2662368320 has 112 divisors (see below), whose sum is σ = 6436370160. Its totient is φ = 1048879104.

The previous prime is 2662368311. The next prime is 2662368323. The reversal of 2662368320 is 238632662.

It can be written as a sum of positive squares in 8 ways, for example, as 37650496 + 2624717824 = 6136^2 + 51232^2 .

It is not an unprimeable number, because it can be changed into a prime (2662368323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897146 + ... + 9897414.

Almost surely, 2^2662368320 is an apocalyptic number.

2662368320 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 2662368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218185080).

2662368320 is an abundant number, since it is smaller than the sum of its proper divisors (3774001840).

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

2662368320 is a wasteful number, since it uses less digits than its factorization.

2662368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 2662368320 is about 51598.1426022294. The cubic root of 2662368320 is about 1385.9770712370.

The spelling of 2662368320 in words is "two billion, six hundred sixty-two million, three hundred sixty-eight thousand, three hundred twenty".