2638856 has 32 divisors (see below), whose sum is σ = 5460480. Its totient is φ = 1185600.

The previous prime is 2638849. The next prime is 2638873. The reversal of 2638856 is 6588362.

2638856 is nontrivially palindromic in base 7.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13721 + ... + 13911.

It is an arithmetic number, because the mean of its divisors is an integer number (170640).

2^2638856 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 2638856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730240).

2638856 is an abundant number, since it is smaller than the sum of its proper divisors (2821624).

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

2638856 is a wasteful number, since it uses less digits than its factorization.

2638856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 2638856 is about 1624.4556011169. The cubic root of 2638856 is about 138.1884982710.

It can be divided in two parts, 263885 and 6, that multiplied together give a triangular number (1583310 = T₁₇₇₉).

The spelling of 2638856 in words is "two million, six hundred thirty-eight thousand, eight hundred fifty-six".