2053725664 has 48 divisors (see below), whose sum is σ = 4292725248. Its totient is φ = 963837952.

The previous prime is 2053725659. The next prime is 2053725679. The reversal of 2053725664 is 4665273502.

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 7 ways as a sum of consecutive naturals, for example, 203424 + ... + 213280.

It is an arithmetic number, because the mean of its divisors is an integer number (89431776).

Almost surely, 2^2053725664 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 2053725664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146362624).

2053725664 is an abundant number, since it is smaller than the sum of its proper divisors (2238999584).

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

2053725664 is a wasteful number, since it uses less digits than its factorization.

2053725664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 2053725664 is about 45318.0500904441. The cubic root of 2053725664 is about 1271.1031941936.

The spelling of 2053725664 in words is "two billion, fifty-three million, seven hundred twenty-five thousand, six hundred sixty-four".