2570319648 has 288 divisors, whose sum is σ = 8411558400. Its totient is φ = 762338304.

The previous prime is 2570319629. The next prime is 2570319659. The reversal of 2570319648 is 8469130752.

2570319648 is a `hidden beast` number, since 2 + 570 + 3 + 19 + 64 + 8 = 666.

2570319648 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

2570319648 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234161 + ... + 4234767.

It is an arithmetic number, because the mean of its divisors is an integer number (29206800).

It is a 1-persistent number, because it is pandigital, but 2⋅2570319648 = 5140639296 is not.

Almost surely, 2^2570319648 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 2570319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205779200).

2570319648 is an abundant number, since it is smaller than the sum of its proper divisors (5841238752).

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

2570319648 is a wasteful number, since it uses less digits than its factorization.

2570319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2570319648 is about 50698.3199721648. The cubic root of 2570319648 is about 1369.8164543564.

The spelling of 2570319648 in words is "two billion, five hundred seventy million, three hundred nineteen thousand, six hundred forty-eight".