2128399200 has 288 divisors, whose sum is σ = 7750753920. Its totient is φ = 563673600.

The previous prime is 2128399177. The next prime is 2128399219. The reversal of 2128399200 is 29938212.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4557367 + ... + 4557833.

It is an arithmetic number, because the mean of its divisors is an integer number (26912340).

Almost surely, 2^2128399200 is an apocalyptic number.

2128399200 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 2128399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875376960).

2128399200 is an abundant number, since it is smaller than the sum of its proper divisors (5622354720).

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

2128399200 is a wasteful number, since it uses less digits than its factorization.

2128399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2128399200 is about 46134.5770545260. The cubic root of 2128399200 is about 1286.3259438878.

The spelling of 2128399200 in words is "two billion, one hundred twenty-eight million, three hundred ninety-nine thousand, two hundred".