2697648 has 40 divisors (see below), whose sum is σ = 7136448. Its totient is φ = 877632.

The previous prime is 2697637. The next prime is 2697661. The reversal of 2697648 is 8467962.

2697648 is nontrivially palindromic in base 15.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 9⁵ + 7³ + 6³ + 4⁷ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411 + ... + 2717.

2^2697648 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 2697648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568224).

2697648 is an abundant number, since it is smaller than the sum of its proper divisors (4438800).

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

2697648 is a wasteful number, since it uses less digits than its factorization.

2697648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2697648 is about 1642.4518257775. The cubic root of 2697648 is about 139.2072198660.

The spelling of 2697648 in words is "two million, six hundred ninety-seven thousand, six hundred forty-eight".