2101248 has 104 divisors (see below), whose sum is σ = 6552800. Its totient is φ = 663552.

The previous prime is 2101247. The next prime is 2101249. The reversal of 2101248 is 8421012.

It is an interprime number because it is at equal distance from previous prime (2101247) and next prime (2101249).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2101248 = 16³ + 128³ = 72³ + 120³.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2101248.

It is not an unprimeable number, because it can be changed into a prime (2101243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110583 + ... + 110601.

2^2101248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276400).

2101248 is an abundant number, since it is smaller than the sum of its proper divisors (4451552).

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

2101248 is an equidigital number, since it uses as much as digits as its factorization.

2101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2101248 is about 1449.5682115720. The cubic root of 2101248 is about 128.0832791387.

The spelling of 2101248 in words is "two million, one hundred one thousand, two hundred forty-eight".