2587876560 has 160 divisors (see below), whose sum is σ = 8948712960. Its totient is φ = 687398400.

The previous prime is 2587876547. The next prime is 2587876597. The reversal of 2587876560 is 656787852.

2587876560 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 8 + 76 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2587876497 and 2587876506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583150 + ... + 587570.

It is an arithmetic number, because the mean of its divisors is an integer number (55929456).

Almost surely, 2^2587876560 is an apocalyptic number.

2587876560 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 2587876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474356480).

2587876560 is an abundant number, since it is smaller than the sum of its proper divisors (6360836400).

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

2587876560 is a wasteful number, since it uses less digits than its factorization.

2587876560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 2587876560 is about 50871.1761216507. The cubic root of 2587876560 is about 1372.9282846277.

The spelling of 2587876560 in words is "two billion, five hundred eighty-seven million, eight hundred seventy-six thousand, five hundred sixty".