2580559560 has 160 divisors (see below), whose sum is σ = 8708515200. Its totient is φ = 685376640.

The previous prime is 2580559549. The next prime is 2580559571. The reversal of 2580559560 is 659550852.

2580559560 is a `hidden beast` number, since 2 + 5 + 80 + 5 + 5 + 9 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2580559549) and next prime (2580559571).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 876571 + ... + 879509.

It is an arithmetic number, because the mean of its divisors is an integer number (54428220).

Almost surely, 2^2580559560 is an apocalyptic number.

2580559560 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 2580559560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354257600).

2580559560 is an abundant number, since it is smaller than the sum of its proper divisors (6127955640).

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

2580559560 is a wasteful number, since it uses less digits than its factorization.

2580559560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 2580559560 is about 50799.2082615468. The cubic root of 2580559560 is about 1371.6331173703.

The spelling of 2580559560 in words is "two billion, five hundred eighty million, five hundred fifty-nine thousand, five hundred sixty".