2560000 has 65 divisors (see below), whose sum is σ = 6397171. Its totient is φ = 1024000.

The previous prime is 2559989. The next prime is 2560021. The reversal of 2560000 is 652.

The square root of 2560000 is 1600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 2359296 = 448^2 + 1536^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 511998 + ... + 512002.

2^2560000 is an apocalyptic number.

2560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2560000 is the 1600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560000

2560000 is an abundant number, since it is smaller than the sum of its proper divisors (3837171).

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

2560000 is an frugal number, since it uses more digits than its factorization.

2560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The cubic root of 2560000 is about 136.7980757341.

Adding to 2560000 its reverse (652), we get a palindrome (2560652).

It can be divided in two parts, 25 and 60000, that added together give a square (60025 = 245²).

The spelling of 2560000 in words is "two million, five hundred sixty thousand".