2819200 has 48 divisors (see below), whose sum is σ = 6972210. Its totient is φ = 1126400.

The previous prime is 2819189. The next prime is 2819203. The reversal of 2819200 is 29182.

It can be written as a sum of positive squares in 3 ways, for example, as 1617984 + 1201216 = 1272^2 + 1096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2760 + ... + 3640.

2^2819200 is an apocalyptic number.

2819200 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 2819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486105).

2819200 is an abundant number, since it is smaller than the sum of its proper divisors (4153010).

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

2819200 is an equidigital number, since it uses as much as digits as its factorization.

2819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2819200 is about 1679.0473489452. The cubic root of 2819200 is about 141.2674032907.

It can be divided in two parts, 2 and 819200, that multiplied together give a square (1638400 = 1280²).

The spelling of 2819200 in words is "two million, eight hundred nineteen thousand, two hundred".