2427200 has 84 divisors (see below), whose sum is σ = 6283452. Its totient is φ = 921600.

The previous prime is 2427179. The next prime is 2427211. The reversal of 2427200 is 27242.

It can be written as a sum of positive squares in 6 ways, for example, as 92416 + 2334784 = 304^2 + 1528^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59180 + ... + 59220.

It is an arithmetic number, because the mean of its divisors is an integer number (74803).

2^2427200 is an apocalyptic number.

2427200 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 2427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141726).

2427200 is an abundant number, since it is smaller than the sum of its proper divisors (3856252).

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

2427200 is a wasteful number, since it uses less digits than its factorization.

2427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2427200 is about 1557.9473675320. The cubic root of 2427200 is about 134.3904849651.

It can be divided in two parts, 242 and 7200, that multiplied together give a square (1742400 = 1320²).

The spelling of 2427200 in words is "two million, four hundred twenty-seven thousand, two hundred".