2587104768 has 160 divisors (see below), whose sum is σ = 7305889536. Its totient is φ = 811819008.

The previous prime is 2587104757. The next prime is 2587104769. The reversal of 2587104768 is 8674017852.

It is a super-2 number, since 2×2587104768² = 13386222161216667648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2587104769) 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, 2366430 + ... + 2367522.

Almost surely, 2^2587104768 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 2587104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652944768).

2587104768 is an abundant number, since it is smaller than the sum of its proper divisors (4718784768).

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

2587104768 is a wasteful number, since it uses less digits than its factorization.

2587104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 2587104768 is about 50863.5898064618. The cubic root of 2587104768 is about 1372.7917865636.

The spelling of 2587104768 in words is "two billion, five hundred eighty-seven million, one hundred four thousand, seven hundred sixty-eight".