2821248 has 96 divisors (see below), whose sum is σ = 8486400. Its totient is φ = 898560.

The previous prime is 2821229. The next prime is 2821267. The reversal of 2821248 is 8421282.

It is an interprime number because it is at equal distance from previous prime (2821229) and next prime (2821267).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35673 + ... + 35751.

It is an arithmetic number, because the mean of its divisors is an integer number (88400).

2^2821248 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 2821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243200).

2821248 is an abundant number, since it is smaller than the sum of its proper divisors (5665152).

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

2821248 is a wasteful number, since it uses less digits than its factorization.

2821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

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

The square root of 2821248 is about 1679.6571078646. The cubic root of 2821248 is about 141.3016027814.

The spelling of 2821248 in words is "two million, eight hundred twenty-one thousand, two hundred forty-eight".