2424816 has 50 divisors (see below), whose sum is σ = 7021872. Its totient is φ = 807840.

The previous prime is 2424809. The next prime is 2424823. The reversal of 2424816 is 6184242.

It is an interprime number because it is at equal distance from previous prime (2424809) and next prime (2424823).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2424816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 361 + ... + 2231.

2^2424816 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 2424816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510936).

2424816 is an abundant number, since it is smaller than the sum of its proper divisors (4597056).

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

2424816 is a wasteful number, since it uses less digits than its factorization.

2424816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1876 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2424816 is about 1557.1820702795. The cubic root of 2424816 is about 134.3464710302.

It can be divided in two parts, 2424 and 816, that added together give a triangular number (3240 = T₈₀).

The spelling of 2424816 in words is "two million, four hundred twenty-four thousand, eight hundred sixteen".