2845795680 has 960 divisors, whose sum is σ = 13113999360. Its totient is φ = 564350976.

The previous prime is 2845795669. The next prime is 2845795697. The reversal of 2845795680 is 865975482.

2845795680 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 79 + 568 + 0 = 666.

2845795680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407777 + ... + 22407903.

It is an arithmetic number, because the mean of its divisors is an integer number (13660416).

Almost surely, 2^2845795680 is an apocalyptic number.

2845795680 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 2845795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556999680).

2845795680 is an abundant number, since it is smaller than the sum of its proper divisors (10268203680).

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

2845795680 is a wasteful number, since it uses less digits than its factorization.

2845795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2845795680 is about 53345.9996625801. Note that the first 3 decimals coincide. The cubic root of 2845795680 is about 1417.1024164200.

The spelling of 2845795680 in words is "two billion, eight hundred forty-five million, seven hundred ninety-five thousand, six hundred eighty".