2709648 has 60 divisors (see below), whose sum is σ = 7840768. Its totient is φ = 872640.

The previous prime is 2709643. The next prime is 2709659. The reversal of 2709648 is 8469072.

2709648 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 648 = 666.

2709648 is digitally balanced in base 5, 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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2709643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4161 + ... + 4767.

2^2709648 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 2709648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920384).

2709648 is an abundant number, since it is smaller than the sum of its proper divisors (5131120).

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

2709648 is a wasteful number, since it uses less digits than its factorization.

2709648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2709648 is about 1646.1008474574. The cubic root of 2709648 is about 139.4133272836.

The spelling of 2709648 in words is "two million, seven hundred nine thousand, six hundred forty-eight".