2014848 has 128 divisors (see below), whose sum is σ = 6609600. Its totient is φ = 599040.

The previous prime is 2014819. The next prime is 2014853. The reversal of 2014848 is 8484102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2014848² = 8119224926208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37990 + ... + 38042.

2^2014848 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 2014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800).

2014848 is an abundant number, since it is smaller than the sum of its proper divisors (4594752).

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

2014848 is a wasteful number, since it uses less digits than its factorization.

2014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

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

The square root of 2014848 is about 1419.4534159316. The cubic root of 2014848 is about 126.3031250461.

The spelling of 2014848 in words is "two million, fourteen thousand, eight hundred forty-eight".