2582314560 has 224 divisors, whose sum is σ = 10411480320. Its totient is φ = 590229504.

The previous prime is 2582314547. The next prime is 2582314577. The reversal of 2582314560 is 654132852.

2582314560 is a `hidden beast` number, since 2 + 5 + 82 + 3 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 39132 + ... + 81828.

Almost surely, 2^2582314560 is an apocalyptic number.

2582314560 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 2582314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205740160).

2582314560 is an abundant number, since it is smaller than the sum of its proper divisors (7829165760).

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

2582314560 is a wasteful number, since it uses less digits than its factorization.

2582314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42730 (or 42714 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2582314560 is about 50816.4792168840. The cubic root of 2582314560 is about 1371.9439893042.

The spelling of 2582314560 in words is "two billion, five hundred eighty-two million, three hundred fourteen thousand, five hundred sixty".