2985416 has 32 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 1262976.

The previous prime is 2985397. The next prime is 2985431. The reversal of 2985416 is 6145892.

2985416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4685 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (202500).

2^2985416 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 2985416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2985416 is an abundant number, since it is smaller than the sum of its proper divisors (3494584).

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

2985416 is a wasteful number, since it uses less digits than its factorization.

2985416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 2985416 is about 1727.8356403316. The cubic root of 2985416 is about 143.9908687626.

The spelling of 2985416 in words is "two million, nine hundred eighty-five thousand, four hundred sixteen".