2053009728 has 336 divisors, whose sum is σ = 7522220160. Its totient is φ = 519782400.

The previous prime is 2053009727. The next prime is 2053009747. The reversal of 2053009728 is 8279003502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 2053009692 and 2053009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053009723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817868 + ... + 1818996.

It is an arithmetic number, because the mean of its divisors is an integer number (22387560).

Almost surely, 2^2053009728 is an apocalyptic number.

2053009728 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 2053009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761110080).

2053009728 is an abundant number, since it is smaller than the sum of its proper divisors (5469210432).

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

2053009728 is a wasteful number, since it uses less digits than its factorization.

2053009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2053009728 is about 45310.1503859786. The cubic root of 2053009728 is about 1270.9554733435.

The spelling of 2053009728 in words is "two billion, fifty-three million, nine thousand, seven hundred twenty-eight".