2053424128 has 88 divisors (see below), whose sum is σ = 4843103744. Its totient is φ = 851558400.

The previous prime is 2053424117. The next prime is 2053424161. The reversal of 2053424128 is 8214243502.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 2053424128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217588 + ... + 226828.

Almost surely, 2^2053424128 is an apocalyptic number.

2053424128 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 2053424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421551872).

2053424128 is an abundant number, since it is smaller than the sum of its proper divisors (2789679616).

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

2053424128 is an equidigital number, since it uses as much as digits as its factorization.

2053424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2053424128 is about 45314.7230820183. The cubic root of 2053424128 is about 1271.0409817084.

The spelling of 2053424128 in words is "two billion, fifty-three million, four hundred twenty-four thousand, one hundred twenty-eight".