2814320 has 40 divisors (see below), whose sum is σ = 6618624. Its totient is φ = 1112832.

The previous prime is 2814319. The next prime is 2814341. The reversal of 2814320 is 234182.

2814320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2814292 and 2814301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10022 + ... + 10298.

2^2814320 is an apocalyptic number.

2814320 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 2814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309312).

2814320 is an abundant number, since it is smaller than the sum of its proper divisors (3804304).

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

2814320 is a wasteful number, since it uses less digits than its factorization.

2814320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2814320 is about 1677.5935145321. The cubic root of 2814320 is about 141.1858455103.

It can be divided in two parts, 28 and 14320, that multiplied together give a triangular number (400960 = T₈₉₅).

The spelling of 2814320 in words is "two million, eight hundred fourteen thousand, three hundred twenty".