2581163560 has 72 divisors (see below), whose sum is σ = 6036578730. Its totient is φ = 993264384.

The previous prime is 2581163539. The next prime is 2581163561. The reversal of 2581163560 is 653611852.

2581163560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 320356 + 2580843204 = 566^2 + 50802^2 .

It is not an unprimeable number, because it can be changed into a prime (2581163561) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9318142 + ... + 9318418.

Almost surely, 2^2581163560 is an apocalyptic number.

2581163560 is a gapful number since it is divisible by the number (20) 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 2581163560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018289365).

2581163560 is an abundant number, since it is smaller than the sum of its proper divisors (3455415170).

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

2581163560 is an equidigital number, since it uses as much as digits as its factorization.

2581163560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 2581163560 is about 50805.1528882652. The cubic root of 2581163560 is about 1371.7401228157.

The spelling of 2581163560 in words is "two billion, five hundred eighty-one million, one hundred sixty-three thousand, five hundred sixty".