2580895872 has 320 divisors, whose sum is σ = 8175340800. Its totient is φ = 806547456.

The previous prime is 2580895853. The next prime is 2580895879. The reversal of 2580895872 is 2785980852.

2580895872 is a `hidden beast` number, since 2 + 58 + 0 + 8 + 9 + 587 + 2 = 666.

It is a super-2 number, since 2×2580895872² = 13322047004213280768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2580895879) 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 39 ways as a sum of consecutive naturals, for example, 18838588 + ... + 18838724.

It is an arithmetic number, because the mean of its divisors is an integer number (25547940).

Almost surely, 2^2580895872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087670400).

2580895872 is an abundant number, since it is smaller than the sum of its proper divisors (5594444928).

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

2580895872 is a wasteful number, since it uses less digits than its factorization.

2580895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 2580895872 is about 50802.5183627741. The cubic root of 2580895872 is about 1371.6927009126.

The spelling of 2580895872 in words is "two billion, five hundred eighty million, eight hundred ninety-five thousand, eight hundred seventy-two".