2610648 has 48 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 859200.

The previous prime is 2610623. The next prime is 2610649. The reversal of 2610648 is 8460162.

2610648 is a `hidden beast` number, since 2 + 6 + 10 + 648 = 666.

It is a super-4 number, since 4×2610648⁴ (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7093 + ... + 7451.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

2^2610648 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 2610648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2610648 is an abundant number, since it is smaller than the sum of its proper divisors (4549752).

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

2610648 is a wasteful number, since it uses less digits than its factorization.

2610648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

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

The square root of 2610648 is about 1615.7499806591. The cubic root of 2610648 is about 137.6943455639.

The spelling of 2610648 in words is "two million, six hundred ten thousand, six hundred forty-eight".