2566400 has 54 divisors (see below), whose sum is σ = 6368082. Its totient is φ = 1024000.

The previous prime is 2566367. The next prime is 2566411. The reversal of 2566400 is 46652.

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 1763584 = 896^2 + 1328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6200 + ... + 6600.

2^2566400 is an apocalyptic number.

2566400 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 2566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184041).

2566400 is an abundant number, since it is smaller than the sum of its proper divisors (3801682).

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

2566400 is an equidigital number, since it uses as much as digits as its factorization.

2566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2566400 is about 1601.9987515601. The cubic root of 2566400 is about 136.9119792636.

It can be divided in two parts, 256 and 6400, that multiplied together give a square (1638400 = 1280²).

The spelling of 2566400 in words is "two million, five hundred sixty-six thousand, four hundred".