2120288128 has 128 divisors (see below), whose sum is σ = 5111424000. Its totient is φ = 855816192.

The previous prime is 2120288083. The next prime is 2120288129. The reversal of 2120288128 is 8218820212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2120288093 and 2120288102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120288129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4579225 + ... + 4579687.

It is an arithmetic number, because the mean of its divisors is an integer number (39933000).

Almost surely, 2^2120288128 is an apocalyptic number.

2120288128 is a gapful number since it is divisible by the number (28) 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 2120288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555712000).

2120288128 is an abundant number, since it is smaller than the sum of its proper divisors (2991135872).

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

2120288128 is a wasteful number, since it uses less digits than its factorization.

2120288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 2120288128 is about 46046.5864967209. The cubic root of 2120288128 is about 1284.6898529299.

The spelling of 2120288128 in words is "two billion, one hundred twenty million, two hundred eighty-eight thousand, one hundred twenty-eight".