2806958560 has 96 divisors (see below), whose sum is σ = 7598066112. Its totient is φ = 959938560.

The previous prime is 2806958513. The next prime is 2806958563. The reversal of 2806958560 is 658596082.

2806958560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806958563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468544 + ... + 474496.

It is an arithmetic number, because the mean of its divisors is an integer number (79146522).

Almost surely, 2^2806958560 is an apocalyptic number.

2806958560 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 2806958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799033056).

2806958560 is an abundant number, since it is smaller than the sum of its proper divisors (4791107552).

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

2806958560 is a wasteful number, since it uses less digits than its factorization.

2806958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 2806958560 is about 52980.7376317091. The cubic root of 2806958560 is about 1410.6263769632.

The spelling of 2806958560 in words is "two billion, eight hundred six million, nine hundred fifty-eight thousand, five hundred sixty".