2128600320 has 576 divisors, whose sum is σ = 8872464384. Its totient is φ = 421724160.

The previous prime is 2128600291. The next prime is 2128600333. The reversal of 2128600320 is 230068212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6800484 + ... + 6800796.

It is an arithmetic number, because the mean of its divisors is an integer number (15403584).

Almost surely, 2^2128600320 is an apocalyptic number.

2128600320 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 2128600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436232192).

2128600320 is an abundant number, since it is smaller than the sum of its proper divisors (6743864064).

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

2128600320 is a wasteful number, since it uses less digits than its factorization.

2128600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2128600320 is about 46136.7567130591. The cubic root of 2128600320 is about 1286.3664591141.

Adding to 2128600320 its reverse (230068212), we get a palindrome (2358668532).

The spelling of 2128600320 in words is "two billion, one hundred twenty-eight million, six hundred thousand, three hundred twenty".