2148320 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 827904.

The previous prime is 2148301. The next prime is 2148329. The reversal of 2148320 is 238412.

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 = 2148292 and 2148301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4409 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

2^2148320 is an apocalyptic number.

2148320 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 2148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

2148320 is an abundant number, since it is smaller than the sum of its proper divisors (3113440).

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

2148320 is a wasteful number, since it uses less digits than its factorization.

2148320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

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

The square root of 2148320 is about 1465.7148426621. The cubic root of 2148320 is about 129.0326620417.

2148320 divided by its sum of digits (20) gives a triangular number (107416 = T₄₆₃).

The spelling of 2148320 in words is "two million, one hundred forty-eight thousand, three hundred twenty".