2818080720 has 720 divisors, whose sum is σ = 12300462720. Its totient is φ = 584506368.

The previous prime is 2818080697. The next prime is 2818080731. The reversal of 2818080720 is 270808182.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 47764051 + ... + 47764109.

It is an arithmetic number, because the mean of its divisors is an integer number (17083976).

Almost surely, 2^2818080720 is an apocalyptic number.

2818080720 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 2818080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150231360).

2818080720 is an abundant number, since it is smaller than the sum of its proper divisors (9482382000).

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

2818080720 is an equidigital number, since it uses as much as digits as its factorization.

2818080720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2818080720 is about 53085.5980469279. The cubic root of 2818080720 is about 1412.4870546755.

It can be divided in two parts, 28180 and 80720, that added together give a square (108900 = 330²).

The spelling of 2818080720 in words is "two billion, eight hundred eighteen million, eighty thousand, seven hundred twenty".