2818480320 has 448 divisors, whose sum is σ = 10885017600. Its totient is φ = 683458560.

The previous prime is 2818480319. The next prime is 2818480331. The reversal of 2818480320 is 230848182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4552971 + ... + 4553589.

Almost surely, 2^2818480320 is an apocalyptic number.

2818480320 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 2818480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442508800).

2818480320 is an abundant number, since it is smaller than the sum of its proper divisors (8066537280).

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

2818480320 is a wasteful number, since it uses less digits than its factorization.

2818480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2818480320 is about 53089.3616461905. The cubic root of 2818480320 is about 1412.5538144323.

The spelling of 2818480320 in words is "two billion, eight hundred eighteen million, four hundred eighty thousand, three hundred twenty".