2084416 has 14 divisors (see below), whose sum is σ = 4136390. Its totient is φ = 1042176.

The previous prime is 2084413. The next prime is 2084419. The reversal of 2084416 is 6144802.

It is an interprime number because it is at equal distance from previous prime (2084413) and next prime (2084419).

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 10816 = 1440^2 + 104^2 .

It is a super-2 number, since 2×2084416² = 8689580122112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2084413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16221 + ... + 16348.

2^2084416 is an apocalyptic number.

It is an amenable number.

2084416 is a deficient number, since it is larger than the sum of its proper divisors (2051974).

2084416 is an equidigital number, since it uses as much as digits as its factorization.

2084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32581 (or 32571 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2084416 is about 1443.7506709955. The cubic root of 2084416 is about 127.7403591056.

It can be divided in two parts, 2084 and 416, that added together give a square (2500 = 50²).

The spelling of 2084416 in words is "two million, eighty-four thousand, four hundred sixteen".