2566206720 has 648 divisors, whose sum is σ = 11195952768. Its totient is φ = 531210240.

The previous prime is 2566206697. The next prime is 2566206733. The reversal of 2566206720 is 276026652.

2566206720 is a `hidden beast` number, since 2 + 5 + 6 + 620 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9757309 + ... + 9757571.

Almost surely, 2^2566206720 is an apocalyptic number.

2566206720 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 2566206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597976384).

2566206720 is an abundant number, since it is smaller than the sum of its proper divisors (8629746048).

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

2566206720 is a wasteful number, since it uses less digits than its factorization.

2566206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2566206720 is about 50657.7409681877. The cubic root of 2566206720 is about 1369.0854215177.

The spelling of 2566206720 in words is "two billion, five hundred sixty-six million, two hundred six thousand, seven hundred twenty".