2643984 has 120 divisors (see below), whose sum is σ = 8795072. Its totient is φ = 725760.

The previous prime is 2643961. The next prime is 2643989. The reversal of 2643984 is 4893462.

It is a happy number.

2643984 is a `hidden beast` number, since 2 + 643 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 2³ + 6² + 4⁵ + 3¹³ + 9 + 8 + 4¹⁰ .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2643989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43314 + ... + 43374.

2^2643984 is an apocalyptic number.

2643984 is a gapful number since it is divisible by the number (24) 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 2643984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397536).

2643984 is an abundant number, since it is smaller than the sum of its proper divisors (6151088).

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

2643984 is a wasteful number, since it uses less digits than its factorization.

2643984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2643984 is about 1626.0332099930. The cubic root of 2643984 is about 138.2779527031.

The spelling of 2643984 in words is "two million, six hundred forty-three thousand, nine hundred eighty-four".