2053002960 has 120 divisors (see below), whose sum is σ = 7300280520. Its totient is φ = 515260416.

The previous prime is 2053002947. The next prime is 2053002967. The reversal of 2053002960 is 692003502.

It can be written as a sum of positive squares in 4 ways, for example, as 405941904 + 1647061056 = 20148^2 + 40584^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053002967) 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 23 ways as a sum of consecutive naturals, for example, 71625 + ... + 96104.

It is an arithmetic number, because the mean of its divisors is an integer number (60835671).

Almost surely, 2^2053002960 is an apocalyptic number.

2053002960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2053002960 is an abundant number, since it is smaller than the sum of its proper divisors (5247277560).

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

2053002960 is a wasteful number, since it uses less digits than its factorization.

2053002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167765 (or 167756 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2053002960 is about 45310.0757006651. The cubic root of 2053002960 is about 1270.9540767214.

The spelling of 2053002960 in words is "two billion, fifty-three million, two thousand, nine hundred sixty".