2813952 has 52 divisors (see below), whose sum is σ = 7535720. Its totient is φ = 933888.

The previous prime is 2813947. The next prime is 2813969. The reversal of 2813952 is 2593182.

It is a happy number.

It is a d-powerful number, because it can be written as 2¹² + 8⁴ + 1 + 3¹² + 9⁵ + 5⁹ + 2¹⁸ .

It is a zygodrome in base 4.

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 3 ways as a sum of consecutive naturals, for example, 12174 + ... + 12402.

2^2813952 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 2813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767860).

2813952 is an abundant number, since it is smaller than the sum of its proper divisors (4721768).

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

2813952 is an equidigital number, since it uses as much as digits as its factorization.

2813952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2813952 is about 1677.4838300264. The cubic root of 2813952 is about 141.1796914298.

The spelling of 2813952 in words is "two million, eight hundred thirteen thousand, nine hundred fifty-two".