2538648 has 128 divisors (see below), whose sum is σ = 8524800. Its totient is φ = 684288.

The previous prime is 2538623. The next prime is 2538659. The reversal of 2538648 is 8468352.

2538648 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 648 = 666.

2538648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 34740 + ... + 34812.

It is an arithmetic number, because the mean of its divisors is an integer number (66600).

2^2538648 is an apocalyptic number.

2538648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

2538648 is the 1008-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262400).

2538648 is an abundant number, since it is smaller than the sum of its proper divisors (5986152).

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

2538648 is a wasteful number, since it uses less digits than its factorization.

2538648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 108 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2538648 is about 1593.3135284683. The cubic root of 2538648 is about 136.4166862683.

The spelling of 2538648 in words is "two million, five hundred thirty-eight thousand, six hundred forty-eight".