2149416 has 80 divisors (see below), whose sum is σ = 6272640. Its totient is φ = 686880.

The previous prime is 2149409. The next prime is 2149421. The reversal of 2149416 is 6149412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2149416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20035 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

2^2149416 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 2149416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136320).

2149416 is an abundant number, since it is smaller than the sum of its proper divisors (4123224).

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

2149416 is a wasteful number, since it uses less digits than its factorization.

2149416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2149416 is about 1466.0886739894. The cubic root of 2149416 is about 129.0546010073.

The spelling of 2149416 in words is "two million, one hundred forty-nine thousand, four hundred sixteen".