2188368 has 120 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 573696.

The previous prime is 2188349. The next prime is 2188409. The reversal of 2188368 is 8638812.

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 an Ulam number.

Its product of digits (18432) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13021 + ... + 13187.

2^2188368 is an apocalyptic number.

2188368 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 2188368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2188368 is an abundant number, since it is smaller than the sum of its proper divisors (5394480).

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

2188368 is a wasteful number, since it uses less digits than its factorization.

2188368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

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

The square root of 2188368 is about 1479.3133542289. The cubic root of 2188368 is about 129.8295201229.

It can be divided in two parts, 2188 and 368, that added together give a triangular number (2556 = T₇₁).

The spelling of 2188368 in words is "two million, one hundred eighty-eight thousand, three hundred sixty-eight".