2813352 has 16 divisors (see below), whose sum is σ = 7033440. Its totient is φ = 937776.

The previous prime is 2813341. The next prime is 2813353. The reversal of 2813352 is 2533182.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 117223 = 2813352 / (2 + 8 + 1 + 3 + 3 + 5 + 2).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁶ + 1 + 3⁴ + 3¹² + 5⁹ + 2¹⁶ .

It is not an unprimeable number, because it can be changed into a prime (2813353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58588 + ... + 58635.

It is an arithmetic number, because the mean of its divisors is an integer number (439590).

2^2813352 is an apocalyptic number.

It is an amenable number.

2813352 is an abundant number, since it is smaller than the sum of its proper divisors (4220088).

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

2813352 is a wasteful number, since it uses less digits than its factorization.

2813352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117232 (or 117228 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2813352 is about 1677.3049812124. The cubic root of 2813352 is about 141.1696564522.

The spelling of 2813352 in words is "two million, eight hundred thirteen thousand, three hundred fifty-two".