2164848 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 580608.

The previous prime is 2164843. The next prime is 2164853. The reversal of 2164848 is 8484612.

It is an interprime number because it is at equal distance from previous prime (2164843) and next prime (2164853).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5523 + ... + 5901.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

2^2164848 is an apocalyptic number.

2164848 is a gapful number since it is divisible by the number (28) 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 2164848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2164848 is an abundant number, since it is smaller than the sum of its proper divisors (4620432).

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

2164848 is a wasteful number, since it uses less digits than its factorization.

2164848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2164848 is about 1471.3422443470. The cubic root of 2164848 is about 129.3627193179.

The spelling of 2164848 in words is "two million, one hundred sixty-four thousand, eight hundred forty-eight".