2802887560 has 96 divisors (see below), whose sum is σ = 7027778520. Its totient is φ = 1005143040.

The previous prime is 2802887539. The next prime is 2802887567. The reversal of 2802887560 is 657882082.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2059888996 + 742998564 = 45386^2 + 27258^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2802887560.

It is not an unprimeable number, because it can be changed into a prime (2802887567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 349354 + ... + 357286.

Almost surely, 2^2802887560 is an apocalyptic number.

2802887560 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 2802887560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513889260).

2802887560 is an abundant number, since it is smaller than the sum of its proper divisors (4224890960).

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

2802887560 is a wasteful number, since it uses less digits than its factorization.

2802887560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 2802887560 is about 52942.3040677302. The cubic root of 2802887560 is about 1409.9440918093.

The spelling of 2802887560 in words is "two billion, eight hundred two million, eight hundred eighty-seven thousand, five hundred sixty".