2845068800 has 240 divisors, whose sum is σ = 8156076192. Its totient is φ = 963379200.

The previous prime is 2845068799. The next prime is 2845068817. The reversal of 2845068800 is 88605482.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10124660 + ... + 10124940.

Almost surely, 2^2845068800 is an apocalyptic number.

2845068800 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 2845068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078038096).

2845068800 is an abundant number, since it is smaller than the sum of its proper divisors (5311007392).

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

2845068800 is a wasteful number, since it uses less digits than its factorization.

2845068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 2845068800 is about 53339.1863455002. The cubic root of 2845068800 is about 1416.9817529064.

The spelling of 2845068800 in words is "two billion, eight hundred forty-five million, sixty-eight thousand, eight hundred".