2818368 has 112 divisors (see below), whose sum is σ = 9509760. Its totient is φ = 801792.

The previous prime is 2818357. The next prime is 2818369. The reversal of 2818368 is 8638182.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2818369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11980 + ... + 12212.

2^2818368 is an apocalyptic number.

2818368 is a gapful number since it is divisible by the number (28) 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 2818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

2818368 is an abundant number, since it is smaller than the sum of its proper divisors (6691392).

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

2818368 is a wasteful number, since it uses less digits than its factorization.

2818368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2818368 is about 1678.7995711222. The cubic root of 2818368 is about 141.2535050165.

It can be divided in two parts, 281 and 8368, that added together give a square (8649 = 93²).

The spelling of 2818368 in words is "two million, eight hundred eighteen thousand, three hundred sixty-eight".