2587537680 has 320 divisors, whose sum is σ = 9932364288. Its totient is φ = 542638080.

The previous prime is 2587537669. The next prime is 2587537691. The reversal of 2587537680 is 867357852.

It is an interprime number because it is at equal distance from previous prime (2587537669) and next prime (2587537691).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5612650 + ... + 5613110.

Almost surely, 2^2587537680 is an apocalyptic number.

2587537680 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 2587537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966182144).

2587537680 is an abundant number, since it is smaller than the sum of its proper divisors (7344826608).

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

2587537680 is a wasteful number, since it uses less digits than its factorization.

2587537680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 2587537680 is about 50867.8452462850. The cubic root of 2587537680 is about 1372.8683541228.

The spelling of 2587537680 in words is "two billion, five hundred eighty-seven million, five hundred thirty-seven thousand, six hundred eighty".