2381200 has 30 divisors (see below), whose sum is σ = 5721794. Its totient is φ = 952320.

The previous prime is 2381191. The next prime is 2381201. The reversal of 2381200 is 21832.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 21904 + 2359296 = 148^2 + 1536^2 .

It is a super-2 number, since 2×2381200² = 11340226880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2381201) 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, 2577 + ... + 3376.

2^2381200 is an apocalyptic number.

2381200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2381200 is an abundant number, since it is smaller than the sum of its proper divisors (3340594).

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

2381200 is a wasteful number, since it uses less digits than its factorization.

2381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2381200 is about 1543.1137352768. The cubic root of 2381200 is about 133.5360804347.

The spelling of 2381200 in words is "two million, three hundred eighty-one thousand, two hundred".