2506688 has 28 divisors (see below), whose sum is σ = 5074920. Its totient is φ = 1228032.

The previous prime is 2506687. The next prime is 2506697. The reversal of 2506688 is 8866052.

2506688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506681) 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, 3023 + ... + 3761.

2^2506688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537460).

2506688 is an abundant number, since it is smaller than the sum of its proper divisors (2568232).

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

2506688 is an equidigital number, since it uses as much as digits as its factorization.

2506688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 2506688 is about 1583.2523488061. The cubic root of 2506688 is about 135.8417998997.

The spelling of 2506688 in words is "two million, five hundred six thousand, six hundred eighty-eight".