2509640 has 32 divisors (see below), whose sum is σ = 6454080. Its totient is φ = 860352.

The previous prime is 2509627. The next prime is 2509649. The reversal of 2509640 is 469052.

It is not an unprimeable number, because it can be changed into a prime (2509649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4202 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (201690).

2^2509640 is an apocalyptic number.

2509640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2509640 is an abundant number, since it is smaller than the sum of its proper divisors (3944440).

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

2509640 is a wasteful number, since it uses less digits than its factorization.

2509640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2509640 is about 1584.1843327088. The cubic root of 2509640 is about 135.8951036590.

The spelling of 2509640 in words is "two million, five hundred nine thousand, six hundred forty".