2587822180 has 48 divisors (see below), whose sum is σ = 5587691760. Its totient is φ = 1006000128.

The previous prime is 2587822177. The next prime is 2587822183. The reversal of 2587822180 is 812287852.

It is an interprime number because it is at equal distance from previous prime (2587822177) and next prime (2587822183).

It can be written as a sum of positive squares in 8 ways, for example, as 971942976 + 1615879204 = 31176^2 + 40198^2 .

It is not an unprimeable number, because it can be changed into a prime (2587822183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952504 + ... + 955216.

It is an arithmetic number, because the mean of its divisors is an integer number (116410245).

Almost surely, 2^2587822180 is an apocalyptic number.

2587822180 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 2587822180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793845880).

2587822180 is an abundant number, since it is smaller than the sum of its proper divisors (2999869580).

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

2587822180 is a wasteful number, since it uses less digits than its factorization.

2587822180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The square root of 2587822180 is about 50870.6416314951. The cubic root of 2587822180 is about 1372.9186679450.

The spelling of 2587822180 in words is "two billion, five hundred eighty-seven million, eight hundred twenty-two thousand, one hundred eighty".