2128523904 has 288 divisors, whose sum is σ = 6871928700. Its totient is φ = 632346624.

The previous prime is 2128523899. The next prime is 2128523909. The reversal of 2128523904 is 4093258212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2128523904 is a `hidden beast` number, since 2 + 128 + 523 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2128523899) and next prime (2128523909).

It can be written as a sum of positive squares in 6 ways, for example, as 60093504 + 2068430400 = 7752^2 + 45480^2 .

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

It is a super-2 number, since 2×2128523904² = 9061228019798802432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2128523909) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 73397362 + ... + 73397390.

Almost surely, 2^2128523904 is an apocalyptic number.

2128523904 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 2128523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435964350).

2128523904 is an abundant number, since it is smaller than the sum of its proper divisors (4743404796).

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

2128523904 is an equidigital number, since it uses as much as digits as its factorization.

2128523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2128523904 is about 46135.9285589875. The cubic root of 2128523904 is about 1286.3510655626.

The spelling of 2128523904 in words is "two billion, one hundred twenty-eight million, five hundred twenty-three thousand, nine hundred four".