2851788800 has 288 divisors, whose sum is σ = 8266658400. Its totient is φ = 955514880.

The previous prime is 2851788787. The next prime is 2851788809. The reversal of 2851788800 is 88871582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2851788809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26163146 + ... + 26163254.

It is an arithmetic number, because the mean of its divisors is an integer number (28703675).

Almost surely, 2^2851788800 is an apocalyptic number.

2851788800 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 2851788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133329200).

2851788800 is an abundant number, since it is smaller than the sum of its proper divisors (5414869600).

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

2851788800 is a wasteful number, since it uses less digits than its factorization.

2851788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 47.

The square root of 2851788800 is about 53402.1422791258. The cubic root of 2851788800 is about 1418.0965039428.

It can be divided in two parts, 28 and 51788800, that multiplied together give a square (1450086400 = 38080²).

The spelling of 2851788800 in words is "two billion, eight hundred fifty-one million, seven hundred eighty-eight thousand, eight hundred".