2581383168 has 672 divisors, whose sum is σ = 10025870400. Its totient is φ = 644972544.

The previous prime is 2581383157. The next prime is 2581383191. The reversal of 2581383168 is 8613831852.

2581383168 is a `hidden beast` number, since 2 + 581 + 3 + 8 + 3 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 135862263 + ... + 135862281.

It is an arithmetic number, because the mean of its divisors is an integer number (14919450).

Almost surely, 2^2581383168 is an apocalyptic number.

2581383168 is a gapful number since it is divisible by the number (28) 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 2581383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012935200).

2581383168 is an abundant number, since it is smaller than the sum of its proper divisors (7444487232).

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

2581383168 is an equidigital number, since it uses as much as digits as its factorization.

2581383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 44 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2581383168 is about 50807.3141191305. The cubic root of 2581383168 is about 1371.7790247237.

The spelling of 2581383168 in words is "two billion, five hundred eighty-one million, three hundred eighty-three thousand, one hundred sixty-eight".