2053102304 has 144 divisors (see below), whose sum is σ = 4728398976. Its totient is φ = 870048000.

The previous prime is 2053102301. The next prime is 2053102307. The reversal of 2053102304 is 4032013502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2053102301) and next prime (2053102307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13596629 + ... + 13596779.

It is an arithmetic number, because the mean of its divisors is an integer number (32836104).

Almost surely, 2^2053102304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364199488).

2053102304 is an abundant number, since it is smaller than the sum of its proper divisors (2675296672).

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

2053102304 is a wasteful number, since it uses less digits than its factorization.

2053102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2053102304 is about 45311.1719557109. The cubic root of 2053102304 is about 1270.9745767122.

Adding to 2053102304 its reverse (4032013502), we get a palindrome (6085115806).

The spelling of 2053102304 in words is "two billion, fifty-three million, one hundred two thousand, three hundred four".