2845861200 has 1080 divisors, whose sum is σ = 13279259448. Its totient is φ = 557383680.

The previous prime is 2845861181. The next prime is 2845861223. The reversal of 2845861200 is 21685482.

It can be written as a sum of positive squares in 12 ways, for example, as 773062416 + 2072798784 = 27804^2 + 45528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38984364 + ... + 38984436.

Almost surely, 2^2845861200 is an apocalyptic number.

2845861200 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 2845861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639629724).

2845861200 is an abundant number, since it is smaller than the sum of its proper divisors (10433398248).

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

2845861200 is a wasteful number, since it uses less digits than its factorization.

2845861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2845861200 is about 53346.6137631996. The cubic root of 2845861200 is about 1417.1132918597.

The spelling of 2845861200 in words is "two billion, eight hundred forty-five million, eight hundred sixty-one thousand, two hundred".