2148384 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 582912.

The previous prime is 2148383. The next prime is 2148397. The reversal of 2148384 is 4838412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2148384² = 9231107622912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 1 + 4 + 8⁵ + 3³ + 8⁷ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15387 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2^2148384 is an apocalyptic number.

2148384 is a gapful number since it is divisible by the number (24) 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 2148384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2148384 is an abundant number, since it is smaller than the sum of its proper divisors (4625376).

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

2148384 is a wasteful number, since it uses less digits than its factorization.

2148384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 2148384 is about 1465.7366748499. The cubic root of 2148384 is about 129.0339433543.

It can be divided in two parts, 21 and 48384, that multiplied together give a square (1016064 = 1008²).

The spelling of 2148384 in words is "two million, one hundred forty-eight thousand, three hundred eighty-four".