2812416 has 40 divisors (see below), whose sum is σ = 7496544. Its totient is φ = 936960.

The previous prime is 2812393. The next prime is 2812421. The reversal of 2812416 is 6142182.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 621 + ... + 2451.

2^2812416 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 2812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748272).

2812416 is an abundant number, since it is smaller than the sum of its proper divisors (4684128).

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

2812416 is an equidigital number, since it uses as much as digits as its factorization.

2812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1836 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2812416 is about 1677.0259389765. The cubic root of 2812416 is about 141.1539990377.

Adding to 2812416 its reverse (6142182), we get a palindrome (8954598).

The spelling of 2812416 in words is "two million, eight hundred twelve thousand, four hundred sixteen".