2838640 has 80 divisors (see below), whose sum is σ = 7803072. Its totient is φ = 940032.

The previous prime is 2838631. The next prime is 2838697. The reversal of 2838640 is 468382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20652 + ... + 20788.

2^2838640 is an apocalyptic number.

2838640 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 2838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901536).

2838640 is an abundant number, since it is smaller than the sum of its proper divisors (4964432).

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

2838640 is a wasteful number, since it uses less digits than its factorization.

2838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2838640 is about 1684.8264005529. The cubic root of 2838640 is about 141.5913663648.

The spelling of 2838640 in words is "two million, eight hundred thirty-eight thousand, six hundred forty".