2814240 has 192 divisors, whose sum is σ = 10668672. Its totient is φ = 614400.

The previous prime is 2814233. The next prime is 2814277. The reversal of 2814240 is 424182.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68620 + ... + 68660.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2^2814240 is an apocalyptic number.

2814240 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 2814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

2814240 is an abundant number, since it is smaller than the sum of its proper divisors (7854432).

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

2814240 is a wasteful number, since it uses less digits than its factorization.

2814240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2814240 is about 1677.5696706844. The cubic root of 2814240 is about 141.1845077124.

It can be divided in two parts, 28142 and 40, that added together give a palindrome (28182).

The spelling of 2814240 in words is "two million, eight hundred fourteen thousand, two hundred forty".