2805760000 has 160 divisors (see below), whose sum is σ = 7063231230. Its totient is φ = 1114112000.

The previous prime is 2805759959. The next prime is 2805760021. The reversal of 2805760000 is 675082.

It can be written as a sum of positive squares in 5 ways, for example, as 65028096 + 2740731904 = 8064^2 + 52352^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20479932 + ... + 20480068.

Almost surely, 2^2805760000 is an apocalyptic number.

2805760000 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 2805760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531615615).

2805760000 is an abundant number, since it is smaller than the sum of its proper divisors (4257471230).

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

2805760000 is an frugal number, since it uses more digits than its factorization.

2805760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2805760000 is about 52969.4251431899. The cubic root of 2805760000 is about 1410.4255711189.

The spelling of 2805760000 in words is "two billion, eight hundred five million, seven hundred sixty thousand".