2946216 has 128 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 725760.

The previous prime is 2946211. The next prime is 2946221. The reversal of 2946216 is 6126492.

2946216 = T₄₆₃ + T₄₆₄ + ... + T₄₈₈.

2946216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2946211) and next prime (2946221).

It is not an unprimeable number, because it can be changed into a prime (2946211) 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 in 31 ways as a sum of consecutive naturals, for example, 41461 + ... + 41531.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2946216 is an apocalyptic number.

2946216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2946216 is an abundant number, since it is smaller than the sum of its proper divisors (6730584).

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

2946216 is a wasteful number, since it uses less digits than its factorization.

2946216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2946216 is about 1716.4544852690. The cubic root of 2946216 is about 143.3578661210.

The spelling of 2946216 in words is "two million, nine hundred forty-six thousand, two hundred sixteen".