2891416 has 48 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 1256640.

The previous prime is 2891407. The next prime is 2891417. The reversal of 2891416 is 6141982.

2891416 = T₈₆ + T₈₇ + ... + T₂₆₁.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891417) 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, 28021 + ... + 28123.

It is an arithmetic number, because the mean of its divisors is an integer number (129675).

2^2891416 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 2891416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2891416 is an abundant number, since it is smaller than the sum of its proper divisors (3332984).

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

2891416 is a wasteful number, since it uses less digits than its factorization.

2891416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 2891416 is about 1700.4164195867. The cubic root of 2891416 is about 142.4634727348.

The spelling of 2891416 in words is "two million, eight hundred ninety-one thousand, four hundred sixteen".