2867200 has 90 divisors (see below), whose sum is σ = 8126216. Its totient is φ = 983040.

The previous prime is 2867107. The next prime is 2867213. The reversal of 2867200 is 27682.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409597 + ... + 409603.

2^2867200 is an apocalyptic number.

2867200 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 2867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063108).

2867200 is an abundant number, since it is smaller than the sum of its proper divisors (5259016).

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

2867200 is an frugal number, since it uses more digits than its factorization.

2867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2867200 is about 1693.2808390813. The cubic root of 2867200 is about 142.0646402788.

The spelling of 2867200 in words is "two million, eight hundred sixty-seven thousand, two hundred".