2814540 has 48 divisors (see below), whose sum is σ = 8020320. Its totient is φ = 737280.

The previous prime is 2814509. The next prime is 2814541. The reversal of 2814540 is 454182.

2814540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2814540.

It is not an unprimeable number, because it can be changed into a prime (2814541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276 + ... + 4044.

It is an arithmetic number, because the mean of its divisors is an integer number (167090).

2^2814540 is an apocalyptic number.

2814540 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 2814540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010160).

2814540 is an abundant number, since it is smaller than the sum of its proper divisors (5205780).

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

2814540 is a wasteful number, since it uses less digits than its factorization.

2814540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2814540 is about 1677.6590833659. The cubic root of 2814540 is about 141.1895243240.

The spelling of 2814540 in words is "two million, eight hundred fourteen thousand, five hundred forty".