2148480 has 96 divisors (see below), whose sum is σ = 7438860. Its totient is φ = 571392.

The previous prime is 2148473. The next prime is 2148491. The reversal of 2148480 is 848412.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 5184 = 1464^2 + 72^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5574 + ... + 5946.

2^2148480 is an apocalyptic number.

2148480 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 2148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719430).

2148480 is an abundant number, since it is smaller than the sum of its proper divisors (5290380).

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

2148480 is a wasteful number, since it uses less digits than its factorization.

2148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2148480 is about 1465.7694225218. The cubic root of 2148480 is about 129.0358652755.

It can be divided in two parts, 2148 and 480, that added together give a triangular number (2628 = T₇₂).

The spelling of 2148480 in words is "two million, one hundred forty-eight thousand, four hundred eighty".