2127971328 has 176 divisors, whose sum is σ = 6864557184. Its totient is φ = 572129280.

The previous prime is 2127971297. The next prime is 2127971333. The reversal of 2127971328 is 8231797212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2127971328.

It is an unprimeable number.

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, 362658 + ... + 368478.

Almost surely, 2^2127971328 is an apocalyptic number.

2127971328 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 2127971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432278592).

2127971328 is an abundant number, since it is smaller than the sum of its proper divisors (4736585856).

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

2127971328 is a wasteful number, since it uses less digits than its factorization.

2127971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5850 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 2127971328 is about 46129.9396054233. The cubic root of 2127971328 is about 1286.2397414280.

The spelling of 2127971328 in words is "two billion, one hundred twenty-seven million, nine hundred seventy-one thousand, three hundred twenty-eight".