2582876160 has 364 divisors, whose sum is σ = 9346684572. Its totient is φ = 684785664.

The previous prime is 2582876053. The next prime is 2582876171. The reversal of 2582876160 is 616782852.

2582876160 is a `hidden beast` number, since 2 + 5 + 8 + 28 + 7 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1719926784 + 862949376 = 41472^2 + 29376^2 .

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 27 ways as a sum of consecutive naturals, for example, 14929834 + ... + 14930006.

Almost surely, 2^2582876160 is an apocalyptic number.

2582876160 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 2582876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673342286).

2582876160 is an abundant number, since it is smaller than the sum of its proper divisors (6763808412).

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

2582876160 is an frugal number, since it uses more digits than its factorization.

2582876160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2582876160 is about 50822.0046830111. The cubic root of 2582876160 is about 1372.0434385746.

The spelling of 2582876160 in words is "two billion, five hundred eighty-two million, eight hundred seventy-six thousand, one hundred sixty".