2412816 has 80 divisors (see below), whose sum is σ = 7332864. Its totient is φ = 669312.

The previous prime is 2412811. The next prime is 2412821. The reversal of 2412816 is 6182142.

It is an interprime number because it is at equal distance from previous prime (2412811) and next prime (2412821).

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.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2412811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14365 + ... + 14531.

2^2412816 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 2412816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432).

2412816 is an abundant number, since it is smaller than the sum of its proper divisors (4920048).

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

2412816 is a wasteful number, since it uses less digits than its factorization.

2412816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

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

The square root of 2412816 is about 1553.3241773693. The cubic root of 2412816 is about 134.1244851944.

Adding to 2412816 its reverse (6182142), we get a palindrome (8594958).

The spelling of 2412816 in words is "two million, four hundred twelve thousand, eight hundred sixteen".