2587872672 has 288 divisors, whose sum is σ = 9580213440. Its totient is φ = 672053760.

The previous prime is 2587872667. The next prime is 2587872673. The reversal of 2587872672 is 2762787852.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (2587872673) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 462918 + ... + 468474.

It is an arithmetic number, because the mean of its divisors is an integer number (33264630).

Almost surely, 2^2587872672 is an apocalyptic number.

2587872672 is a gapful number since it is divisible by the number (22) 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 2587872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790106720).

2587872672 is an abundant number, since it is smaller than the sum of its proper divisors (6992340768).

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

2587872672 is a wasteful number, since it uses less digits than its factorization.

2587872672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5580 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 2587872672 is about 50871.1379074618. The cubic root of 2587872672 is about 1372.9275970695.

The spelling of 2587872672 in words is "two billion, five hundred eighty-seven million, eight hundred seventy-two thousand, six hundred seventy-two".