2643648 has 84 divisors (see below), whose sum is σ = 8165592. Its totient is φ = 752640.

The previous prime is 2643647. The next prime is 2643659. The reversal of 2643648 is 8463462.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2643647) 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, 9268 + ... + 9548.

2^2643648 is an apocalyptic number.

2643648 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 2643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082796).

2643648 is an abundant number, since it is smaller than the sum of its proper divisors (5521944).

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

2643648 is a wasteful number, since it uses less digits than its factorization.

2643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 2643648 is about 1625.9298877873. The cubic root of 2643648 is about 138.2720949571.

The spelling of 2643648 in words is "two million, six hundred forty-three thousand, six hundred forty-eight".