2840640 has 112 divisors (see below), whose sum is σ = 9875520. Its totient is φ = 686080.

The previous prime is 2840627. The next prime is 2840647. The reversal of 2840640 is 460482.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2840640.

It is not an unprimeable number, because it can be changed into a prime (2840647) 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, 10426 + ... + 10694.

2^2840640 is an apocalyptic number.

2840640 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 2840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937760).

2840640 is an abundant number, since it is smaller than the sum of its proper divisors (7034880).

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

2840640 is a wasteful number, since it uses less digits than its factorization.

2840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2840640 is about 1685.4198290040. The cubic root of 2840640 is about 141.6246118922.

The spelling of 2840640 in words is "two million, eight hundred forty thousand, six hundred forty".