2858645160 has 768 divisors, whose sum is σ = 12019138560. Its totient is φ = 574801920.

The previous prime is 2858645147. The next prime is 2858645161. The reversal of 2858645160 is 615468582.

2858645160 is a `hidden beast` number, since 2 + 8 + 586 + 4 + 5 + 1 + 60 = 666.

2858645160 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 (45).

It is not an unprimeable number, because it can be changed into a prime (2858645161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66480099 + ... + 66480141.

It is an arithmetic number, because the mean of its divisors is an integer number (15649920).

Almost surely, 2^2858645160 is an apocalyptic number.

2858645160 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 2858645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009569280).

2858645160 is an abundant number, since it is smaller than the sum of its proper divisors (9160493400).

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

2858645160 is a wasteful number, since it uses less digits than its factorization.

2858645160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2858645160 is about 53466.2992921710. The cubic root of 2858645160 is about 1419.2320717238.

The spelling of 2858645160 in words is "two billion, eight hundred fifty-eight million, six hundred forty-five thousand, one hundred sixty".