2026416 has 80 divisors (see below), whose sum is σ = 6182144. Its totient is φ = 559872.

The previous prime is 2026397. The next prime is 2026447. The reversal of 2026416 is 6146202.

2026416 = T₆₉ + T₇₀ + ... + T₂₃₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2026392 and 2026401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12351 + ... + 12513.

2^2026416 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 2026416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091072).

2026416 is an abundant number, since it is smaller than the sum of its proper divisors (4155728).

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

2026416 is a wasteful number, since it uses less digits than its factorization.

2026416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2026416 is about 1423.5223918155. The cubic root of 2026416 is about 126.5443818295.

It can be divided in two parts, 2026 and 416, that added together give a palindrome (2442).

The spelling of 2026416 in words is "two million, twenty-six thousand, four hundred sixteen".