2319280128 has 480 divisors, whose sum is σ = 7991343360. Its totient is φ = 663552000.

The previous prime is 2319280127. The next prime is 2319280177. The reversal of 2319280128 is 8210829132.

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

It is a junction number, because it is equal to n+sod(n) for n = 2319280092 and 2319280101.

It is not an unprimeable number, because it can be changed into a prime (2319280123) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 56567788 + ... + 56567828.

It is an arithmetic number, because the mean of its divisors is an integer number (16648632).

Almost surely, 2^2319280128 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 2319280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995671680).

2319280128 is an abundant number, since it is smaller than the sum of its proper divisors (5672063232).

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

2319280128 is a wasteful number, since it uses less digits than its factorization.

2319280128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2319280128 is about 48158.9049709397. The cubic root of 2319280128 is about 1323.6842527674.

The spelling of 2319280128 in words is "two billion, three hundred nineteen million, two hundred eighty thousand, one hundred twenty-eight".