2601648 has 120 divisors (see below), whose sum is σ = 8704800. Its totient is φ = 709632.

The previous prime is 2601617. The next prime is 2601661. The reversal of 2601648 is 8461062.

2601648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 29188 + ... + 29276.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

2^2601648 is an apocalyptic number.

2601648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352400).

2601648 is an abundant number, since it is smaller than the sum of its proper divisors (6103152).

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

2601648 is a wasteful number, since it uses less digits than its factorization.

2601648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2601648 is about 1612.9624918144. The cubic root of 2601648 is about 137.5359333083.

It can be divided in two parts, 2601 and 648, that added together give a square (3249 = 57²).

The spelling of 2601648 in words is "two million, six hundred one thousand, six hundred forty-eight".