2718720000 has 420 divisors, whose sum is σ = 9980195940. Its totient is φ = 712704000.

The previous prime is 2718719987. The next prime is 2718720023. The reversal of 2718720000 is 278172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46079971 + ... + 46080029.

Almost surely, 2^2718720000 is an apocalyptic number.

2718720000 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 2718720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990097970).

2718720000 is an abundant number, since it is smaller than the sum of its proper divisors (7261475940).

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

2718720000 is an frugal number, since it uses more digits than its factorization.

2718720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 2718720000 is about 52141.3463577610. The cubic root of 2718720000 is about 1395.6874093140.

Adding to 2718720000 its reverse (278172), we get a palindrome (2718998172).

The spelling of 2718720000 in words is "two billion, seven hundred eighteen million, seven hundred twenty thousand".