2643888 has 80 divisors (see below), whose sum is σ = 7777280. Its totient is φ = 767232.

The previous prime is 2643871. The next prime is 2643889. The reversal of 2643888 is 8883462.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (2643889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11745 + ... + 11967.

It is an arithmetic number, because the mean of its divisors is an integer number (97216).

2^2643888 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 2643888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888640).

2643888 is an abundant number, since it is smaller than the sum of its proper divisors (5133392).

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

2643888 is a wasteful number, since it uses less digits than its factorization.

2643888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 2643888 is about 1626.0036900327. The cubic root of 2643888 is about 138.2762791121.

The spelling of 2643888 in words is "two million, six hundred forty-three thousand, eight hundred eighty-eight".