2587072512 has 288 divisors, whose sum is σ = 7724021760. Its totient is φ = 768737280.

The previous prime is 2587072463. The next prime is 2587072519. The reversal of 2587072512 is 2152707852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587072519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55044073 + ... + 55044119.

It is an arithmetic number, because the mean of its divisors is an integer number (26819520).

Almost surely, 2^2587072512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2587072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862010880).

2587072512 is an abundant number, since it is smaller than the sum of its proper divisors (5136949248).

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

2587072512 is a wasteful number, since it uses less digits than its factorization.

2587072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 2587072512 is about 50863.2727220732. The cubic root of 2587072512 is about 1372.7860812212.

The spelling of 2587072512 in words is "two billion, five hundred eighty-seven million, seventy-two thousand, five hundred twelve".