2563200 has 144 divisors (see below), whose sum is σ = 9248850. Its totient is φ = 675840.

The previous prime is 2563199. The next prime is 2563207. The reversal of 2563200 is 23652.

It is a Cunningham number, because it is equal to 1601²-1.

It can be written as a sum of positive squares in 3 ways, for example, as 1498176 + 1065024 = 1224^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2563207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28756 + ... + 28844.

2^2563200 is an apocalyptic number.

2563200 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 2563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624425).

2563200 is an abundant number, since it is smaller than the sum of its proper divisors (6685650).

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

2563200 is a wasteful number, since it uses less digits than its factorization.

2563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2563200 is about 1600.9996876952. Note that the first 3 decimals coincide. The cubic root of 2563200 is about 136.8550511992.

Adding to 2563200 its reverse (23652), we get a palindrome (2586852).

The spelling of 2563200 in words is "two million, five hundred sixty-three thousand, two hundred".