2718328320 has 240 divisors, whose sum is σ = 9498677760. Its totient is φ = 718405632.

The previous prime is 2718328313. The next prime is 2718328351. The reversal of 2718328320 is 238238172.

It is a happy number.

2718328320 is a `hidden beast` number, since 2 + 7 + 1 + 8 + 328 + 320 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925616 + ... + 2926544.

It is an arithmetic number, because the mean of its divisors is an integer number (39577824).

Almost surely, 2^2718328320 is an apocalyptic number.

2718328320 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 2718328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

2718328320 is an abundant number, since it is smaller than the sum of its proper divisors (6780349440).

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

2718328320 is a wasteful number, since it uses less digits than its factorization.

2718328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2718328320 is about 52137.5902780326. The cubic root of 2718328320 is about 1395.6203815584.

The spelling of 2718328320 in words is "two billion, seven hundred eighteen million, three hundred twenty-eight thousand, three hundred twenty".