2291200 has 60 divisors (see below), whose sum is σ = 5708340. Its totient is φ = 911360.

The previous prime is 2291197. The next prime is 2291213. The reversal of 2291200 is 21922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 12711 + ... + 12889.

It is an arithmetic number, because the mean of its divisors is an integer number (95139).

2^2291200 is an apocalyptic number.

2291200 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 2291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854170).

2291200 is an abundant number, since it is smaller than the sum of its proper divisors (3417140).

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

2291200 is an equidigital number, since it uses as much as digits as its factorization.

2291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2291200 is about 1513.6710342740. The cubic root of 2291200 is about 131.8320484097.

The spelling of 2291200 in words is "two million, two hundred ninety-one thousand, two hundred".