2818768128 has 288 divisors, whose sum is σ = 8688798720. Its totient is φ = 802897920.

The previous prime is 2818768091. The next prime is 2818768153. The reversal of 2818768128 is 8218678182.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17292975 + ... + 17293137.

It is an arithmetic number, because the mean of its divisors is an integer number (30169440).

Almost surely, 2^2818768128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2818768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344399360).

2818768128 is an abundant number, since it is smaller than the sum of its proper divisors (5870030592).

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

2818768128 is a wasteful number, since it uses less digits than its factorization.

2818768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its digits is 688128, while the sum is 51.

The square root of 2818768128 is about 53092.0721765501. The cubic root of 2818768128 is about 1412.6018935867.

The spelling of 2818768128 in words is "two billion, eight hundred eighteen million, seven hundred sixty-eight thousand, one hundred twenty-eight".