2581447680 has 528 divisors, whose sum is σ = 10484308224. Its totient is φ = 575078400.

The previous prime is 2581447679. The next prime is 2581447727. The reversal of 2581447680 is 867441852.

2581447680 is a `hidden beast` number, since 2 + 581 + 4 + 4 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 17095605 + ... + 17095755.

Almost surely, 2^2581447680 is an apocalyptic number.

2581447680 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 2581447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242154112).

2581447680 is an abundant number, since it is smaller than the sum of its proper divisors (7902860544).

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

2581447680 is a wasteful number, since it uses less digits than its factorization.

2581447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2581447680 is about 50807.9489843863. The cubic root of 2581447680 is about 1371.7904521207.

The spelling of 2581447680 in words is "two billion, five hundred eighty-one million, four hundred forty-seven thousand, six hundred eighty".