2566086720 has 224 divisors, whose sum is σ = 8328355200. Its totient is φ = 669302784.

The previous prime is 2566086707. The next prime is 2566086797. The reversal of 2566086720 is 276806652.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14335591 + ... + 14335769.

Almost surely, 2^2566086720 is an apocalyptic number.

2566086720 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 2566086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164177600).

2566086720 is an abundant number, since it is smaller than the sum of its proper divisors (5762268480).

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

2566086720 is a wasteful number, since it uses less digits than its factorization.

2566086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2566086720 is about 50656.5565351614. The cubic root of 2566086720 is about 1369.0640809647.

The spelling of 2566086720 in words is "two billion, five hundred sixty-six million, eighty-six thousand, seven hundred twenty".