2564000 has 48 divisors (see below), whose sum is σ = 6309576. Its totient is φ = 1024000.

The previous prime is 2563997. The next prime is 2564011. The reversal of 2564000 is 4652.

2564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1336336 + 1227664 = 1156^2 + 1108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2564000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3680 + ... + 4320.

2^2564000 is an apocalyptic number.

2564000 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 2564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154788).

2564000 is an abundant number, since it is smaller than the sum of its proper divisors (3745576).

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

2564000 is an equidigital number, since it uses as much as digits as its factorization.

2564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2564000 is about 1601.2495120998. The cubic root of 2564000 is about 136.8692876552.

Adding to 2564000 its reverse (4652), we get a palindrome (2568652).

The spelling of 2564000 in words is "two million, five hundred sixty-four thousand".