2128495824 has 480 divisors, whose sum is σ = 7886161920. Its totient is φ = 520307712.

The previous prime is 2128495819. The next prime is 2128495871. The reversal of 2128495824 is 4285948212.

2128495824 is a `hidden beast` number, since 2 + 1 + 28 + 49 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2128495824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20664957 + ... + 20665059.

It is an arithmetic number, because the mean of its divisors is an integer number (16429504).

Almost surely, 2^2128495824 is an apocalyptic number.

2128495824 is a gapful number since it is divisible by the number (24) 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 2128495824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943080960).

2128495824 is an abundant number, since it is smaller than the sum of its proper divisors (5757666096).

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

2128495824 is a wasteful number, since it uses less digits than its factorization.

2128495824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2128495824 is about 46135.6242398431. The cubic root of 2128495824 is about 1286.3454089201.

The spelling of 2128495824 in words is "two billion, one hundred twenty-eight million, four hundred ninety-five thousand, eight hundred twenty-four".