2560640 has 32 divisors (see below), whose sum is σ = 6123060. Its totient is φ = 1024000.

The previous prime is 2560639. The next prime is 2560651. The reversal of 2560640 is 460652.

It can be written as a sum of positive squares in 2 ways, for example, as 2238016 + 322624 = 1496^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1361 + ... + 2640.

2^2560640 is an apocalyptic number.

2560640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560640 is an abundant number, since it is smaller than the sum of its proper divisors (3562420).

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

2560640 is an equidigital number, since it uses as much as digits as its factorization.

2560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4008 counting only the distinct ones).

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

The square root of 2560640 is about 1600.1999875016. The cubic root of 2560640 is about 136.8094746239.

It can be divided in two parts, 2560 and 640, that multiplied together give a square (1638400 = 1280²).

The spelling of 2560640 in words is "two million, five hundred sixty thousand, six hundred forty".