2420416 has 28 divisors (see below), whose sum is σ = 4892040. Its totient is φ = 1187840.

The previous prime is 2420399. The next prime is 2420417. The reversal of 2420416 is 6140242.

It is a super-2 number, since 2×2420416² = 11716827226112, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2420393 and 2420402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420417) 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, 3456 + ... + 4096.

2^2420416 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 2420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446020).

2420416 is an abundant number, since it is smaller than the sum of its proper divisors (2471624).

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

2420416 is an equidigital number, since it uses as much as digits as its factorization.

2420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2420416 is about 1555.7686203289. The cubic root of 2420416 is about 134.2651614409.

Adding to 2420416 its reverse (6140242), we get a palindrome (8560658).

It can be divided in two parts, 24 and 20416, that multiplied together give a palindrome (489984).

The spelling of 2420416 in words is "two million, four hundred twenty thousand, four hundred sixteen".