2805870960 has 120 divisors (see below), whose sum is σ = 9529144560. Its totient is φ = 739808256.

The previous prime is 2805870941. The next prime is 2805870967. The reversal of 2805870960 is 690785082.

2805870960 is a `hidden beast` number, since 2 + 8 + 0 + 587 + 0 + 9 + 60 = 666.

2805870960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805870967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42187 + ... + 85973.

It is an arithmetic number, because the mean of its divisors is an integer number (79409538).

Almost surely, 2^2805870960 is an apocalyptic number.

2805870960 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 2805870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764572280).

2805870960 is an abundant number, since it is smaller than the sum of its proper divisors (6723273600).

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

2805870960 is a wasteful number, since it uses less digits than its factorization.

2805870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43895 (or 43886 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2805870960 is about 52970.4725295140. The cubic root of 2805870960 is about 1410.4441636759. Note that the first 3 decimals are identical.

The spelling of 2805870960 in words is "two billion, eight hundred five million, eight hundred seventy thousand, nine hundred sixty".