2414016 has 112 divisors (see below), whose sum is σ = 7802880. Its totient is φ = 725760.

The previous prime is 2413993. The next prime is 2414021. The reversal of 2414016 is 6104142.

2414016 = T₁₂₈ + T₁₂₉ + ... + T₂₅₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2414016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18945 + ... + 19071.

2^2414016 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 2414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901440).

2414016 is an abundant number, since it is smaller than the sum of its proper divisors (5388864).

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

2414016 is a wasteful number, since it uses less digits than its factorization.

2414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2414016 is about 1553.7103977254. The cubic root of 2414016 is about 134.1467168533.

Adding to 2414016 its reverse (6104142), we get a palindrome (8518158).

The spelling of 2414016 in words is "two million, four hundred fourteen thousand, sixteen".