2581230560 has 96 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 964293120.

The previous prime is 2581230551. The next prime is 2581230571. The reversal of 2581230560 is 650321852.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209861 + ... + 221819.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 2^2581230560 is an apocalyptic number.

2581230560 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 2581230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2581230560 is an abundant number, since it is smaller than the sum of its proper divisors (3928836640).

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

2581230560 is a wasteful number, since it uses less digits than its factorization.

2581230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2581230560 is about 50805.8122659209. The cubic root of 2581230560 is about 1371.7519915964.

The spelling of 2581230560 in words is "two billion, five hundred eighty-one million, two hundred thirty thousand, five hundred sixty".