2278368 has 72 divisors (see below), whose sum is σ = 6742008. Its totient is φ = 756864.

The previous prime is 2278361. The next prime is 2278379. The reversal of 2278368 is 8638722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁶ + 2¹⁹ + 7 + 8⁴ + 3⁶ + 6⁸ + 8⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7630 + ... + 7922.

It is an arithmetic number, because the mean of its divisors is an integer number (93639).

2^2278368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371004).

2278368 is an abundant number, since it is smaller than the sum of its proper divisors (4463640).

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

2278368 is an equidigital number, since it uses as much as digits as its factorization.

2278368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2278368 is about 1509.4263811130. The cubic root of 2278368 is about 131.5854764816.

The spelling of 2278368 in words is "two million, two hundred seventy-eight thousand, three hundred sixty-eight".