2581120080 has 600 divisors, whose sum is σ = 11391636960. Its totient is φ = 535610880.

The previous prime is 2581120049. The next prime is 2581120169. The reversal of 2581120080 is 800211852.

2581120080 is a `hidden beast` number, since 2 + 581 + 1 + 2 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 3492351 + ... + 3493089.

Almost surely, 2^2581120080 is an apocalyptic number.

2581120080 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 2581120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695818480).

2581120080 is an abundant number, since it is smaller than the sum of its proper divisors (8810516880).

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

2581120080 is a wasteful number, since it uses less digits than its factorization.

2581120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2581120080 is about 50804.7249771121. The cubic root of 2581120080 is about 1371.7324203985.

The spelling of 2581120080 in words is "two billion, five hundred eighty-one million, one hundred twenty thousand, eighty".