2506640 has 20 divisors (see below), whose sum is σ = 5828124. Its totient is φ = 1002624.

The previous prime is 2506631. The next prime is 2506643. The reversal of 2506640 is 466052.

2506640 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 2 ways, for example, as 1982464 + 524176 = 1408^2 + 724^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2506643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15587 + ... + 15746.

2^2506640 is an apocalyptic number.

2506640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506640 is an abundant number, since it is smaller than the sum of its proper divisors (3321484).

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

2506640 is a wasteful number, since it uses less digits than its factorization.

2506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346 (or 31340 counting only the distinct ones).

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

The square root of 2506640 is about 1583.2371900634. The cubic root of 2506640 is about 135.8409328262.

The spelling of 2506640 in words is "two million, five hundred six thousand, six hundred forty".