2800560960 has 448 divisors, whose sum is σ = 10928908800. Its totient is φ = 671514624.

The previous prime is 2800560949. The next prime is 2800561013. The reversal of 2800560960 is 690650082.

2800560960 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 560 + 96 + 0 = 666.

It is a super-2 number, since 2×2800560960² = 15686283381352243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3377826 + ... + 3378654.

Almost surely, 2^2800560960 is an apocalyptic number.

2800560960 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 2800560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464454400).

2800560960 is an abundant number, since it is smaller than the sum of its proper divisors (8128347840).

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

2800560960 is a wasteful number, since it uses less digits than its factorization.

2800560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2800560960 is about 52920.3265296049. The cubic root of 2800560960 is about 1409.5538651921.

The spelling of 2800560960 in words is "two billion, eight hundred million, five hundred sixty thousand, nine hundred sixty".