2814720 has 72 divisors (see below), whose sum is σ = 9001776. Its totient is φ = 749568.

The previous prime is 2814719. The next prime is 2814727. The reversal of 2814720 is 274182.

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

It is not an unprimeable number, because it can be changed into a prime (2814727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 4206.

2^2814720 is an apocalyptic number.

2814720 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 2814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500888).

2814720 is an abundant number, since it is smaller than the sum of its proper divisors (6187056).

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

2814720 is an equidigital number, since it uses as much as digits as its factorization.

2814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2814720 is about 1677.7127286875. The cubic root of 2814720 is about 141.1925341199.

The spelling of 2814720 in words is "two million, eight hundred fourteen thousand, seven hundred twenty".