2561200 has 60 divisors (see below), whose sum is σ = 6496360. Its totient is φ = 967680.

The previous prime is 2561191. The next prime is 2561201. The reversal of 2561200 is 21652.

It is a happy number.

2561200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (2561201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7432 + ... + 7768.

2^2561200 is an apocalyptic number.

2561200 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 2561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248180).

2561200 is an abundant number, since it is smaller than the sum of its proper divisors (3935160).

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

2561200 is a wasteful number, since it uses less digits than its factorization.

2561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2561200 is about 1600.3749560650. The cubic root of 2561200 is about 136.8194470945.

Adding to 2561200 its reverse (21652), we get a palindrome (2582852).

The spelling of 2561200 in words is "two million, five hundred sixty-one thousand, two hundred".