2884640 has 72 divisors (see below), whose sum is σ = 7541100. Its totient is φ = 1041920.

The previous prime is 2884639. The next prime is 2884649. The reversal of 2884640 is 464882.

It can be written as a sum of positive squares in 2 ways, for example, as 2650384 + 234256 = 1628^2 + 484^2 .

It is a super-2 number, since 2×2884640² = 16642295859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2884597 and 2884606.

It is not an unprimeable number, because it can be changed into a prime (2884649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19286 + ... + 19434.

2^2884640 is an apocalyptic number.

2884640 is a gapful number since it is divisible by the number (20) 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 2884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770550).

2884640 is an abundant number, since it is smaller than the sum of its proper divisors (4656460).

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

2884640 is a wasteful number, since it uses less digits than its factorization.

2884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2884640 is about 1698.4227977745. The cubic root of 2884640 is about 142.3520985204.

The spelling of 2884640 in words is "two million, eight hundred eighty-four thousand, six hundred forty".