2566958520 has 256 divisors, whose sum is σ = 9810201600. Its totient is φ = 523100160.

The previous prime is 2566958431. The next prime is 2566958521. The reversal of 2566958520 is 258596652.

It is a self number, because there is not a number n which added to its sum of digits gives 2566958520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566958521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266590 + ... + 276050.

It is an arithmetic number, because the mean of its divisors is an integer number (38321100).

Almost surely, 2^2566958520 is an apocalyptic number.

2566958520 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 2566958520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905100800).

2566958520 is an abundant number, since it is smaller than the sum of its proper divisors (7243243080).

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

2566958520 is a wasteful number, since it uses less digits than its factorization.

2566958520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 2566958520 is about 50665.1608109557. The cubic root of 2566958520 is about 1369.2191049444.

The spelling of 2566958520 in words is "two billion, five hundred sixty-six million, nine hundred fifty-eight thousand, five hundred twenty".