2851200 has 240 divisors, whose sum is σ = 11478060. Its totient is φ = 691200.

The previous prime is 2851187. The next prime is 2851231. The reversal of 2851200 is 21582.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259195 + ... + 259205.

2^2851200 is an apocalyptic number.

2851200 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 2851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030).

2851200 is an abundant number, since it is smaller than the sum of its proper divisors (8626860).

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

2851200 is a wasteful number, since it uses less digits than its factorization.

2851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2851200 is about 1688.5496735364. The cubic root of 2851200 is about 141.7998900561.

Adding to 2851200 its reverse (21582), we get a palindrome (2872782).

It can be divided in two parts, 285 and 1200, that added together give a triangular number (1485 = T₅₄).

The spelling of 2851200 in words is "two million, eight hundred fifty-one thousand, two hundred".