2587803680 has 288 divisors, whose sum is σ = 7977880512. Its totient is φ = 783820800.

The previous prime is 2587803679. The next prime is 2587803697. The reversal of 2587803680 is 863087852.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3190475 + ... + 3191285.

It is an arithmetic number, because the mean of its divisors is an integer number (27700974).

Almost surely, 2^2587803680 is an apocalyptic number.

2587803680 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 2587803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988940256).

2587803680 is an abundant number, since it is smaller than the sum of its proper divisors (5390076832).

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

2587803680 is a wasteful number, since it uses less digits than its factorization.

2587803680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 2587803680 is about 50870.4597974109. The cubic root of 2587803680 is about 1372.9153963323.

The spelling of 2587803680 in words is "two billion, five hundred eighty-seven million, eight hundred three thousand, six hundred eighty".