2573600768 has 108 divisors (see below), whose sum is σ = 5524650495. Its totient is φ = 1198411776.

The previous prime is 2573600723. The next prime is 2573600789. The reversal of 2573600768 is 8670063752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1286800384 + 1286800384 = 35872^2 + 35872^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35872.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43620323 + ... + 43620381.

Almost surely, 2^2573600768 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 2573600768

2573600768 is an abundant number, since it is smaller than the sum of its proper divisors (2951049727).

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

2573600768 is an frugal number, since it uses more digits than its factorization.

2573600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The square root of 2573600768 is about 50730.6689094477. The cubic root of 2573600768 is about 1370.3990824143.

The spelling of 2573600768 in words is "two billion, five hundred seventy-three million, six hundred thousand, seven hundred sixty-eight".