2985216 has 108 divisors (see below), whose sum is σ = 8977248. Its totient is φ = 878592.

The previous prime is 2985211. The next prime is 2985221. The reversal of 2985216 is 6125892.

It is an interprime number because it is at equal distance from previous prime (2985211) and next prime (2985221).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129781 + ... + 129803.

2^2985216 is an apocalyptic number.

2985216 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 2985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488624).

2985216 is an abundant number, since it is smaller than the sum of its proper divisors (5992032).

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

2985216 is a wasteful number, since it uses less digits than its factorization.

2985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2985216 is about 1727.7777634870. Note that the first 4 decimals coincide. The cubic root of 2985216 is about 143.9876532624.

The spelling of 2985216 in words is "two million, nine hundred eighty-five thousand, two hundred sixteen".