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2673216 = 263371317

2673216 has 224 divisors, whose sum is σ = 10241280. Its totient is φ = 663552.

The previous prime is 2673211. The next prime is 2673217. The reversal of 2673216 is 6123762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3024) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2673216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 157240 + ... + 157256.

It is an arithmetic number, because the mean of its divisors is an integer number (45720).

22673216 is an apocalyptic number.

2673216 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 2673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

2673216 is an abundant number, since it is smaller than the sum of its proper divisors (7568064).

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

2673216 is a wasteful number, since it uses less digits than its factorization.

2673216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 42 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2673216 is about 1634.9972477041. The cubic root of 2673216 is about 138.7856884091.

Adding to 2673216 its reverse (6123762), we get a palindrome (8796978).

The spelling of 2673216 in words is "two million, six hundred seventy-three thousand, two hundred sixteen".