2611648 has 56 divisors (see below), whose sum is σ = 5789168. Its totient is φ = 1161216.

The previous prime is 2611643. The next prime is 2611663. The reversal of 2611648 is 8461162.

2611648 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 (2611643) 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 7 ways as a sum of consecutive naturals, for example, 35740 + ... + 35812.

It is an arithmetic number, because the mean of its divisors is an integer number (103378).

2^2611648 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 2611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894584).

2611648 is an abundant number, since it is smaller than the sum of its proper divisors (3177520).

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

2611648 is a wasteful number, since it uses less digits than its factorization.

2611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2611648 is about 1616.0594048487. The cubic root of 2611648 is about 137.7119244394.

It can be divided in two parts, 261 and 1648, that multiplied together give a triangular number (430128 = T₉₂₇).

The spelling of 2611648 in words is "two million, six hundred eleven thousand, six hundred forty-eight".