2566130560 has 256 divisors, whose sum is σ = 7317267840. Its totient is φ = 842268672.

The previous prime is 2566130543. The next prime is 2566130561. The reversal of 2566130560 is 650316652.

It is a super-3 number, since 3×2566130560³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566130561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18730812 + ... + 18730948.

Almost surely, 2^2566130560 is an apocalyptic number.

2566130560 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 2566130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658633920).

2566130560 is an abundant number, since it is smaller than the sum of its proper divisors (4751137280).

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

2566130560 is a wasteful number, since it uses less digits than its factorization.

2566130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 2566130560 is about 50656.9892512376. The cubic root of 2566130560 is about 1369.0718774572.

The spelling of 2566130560 in words is "two billion, five hundred sixty-six million, one hundred thirty thousand, five hundred sixty".