2217376 has 48 divisors (see below), whose sum is σ = 5261760. Its totient is φ = 898560.

The previous prime is 2217359. The next prime is 2217379. The reversal of 2217376 is 6737122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2³ + 2²¹ + 1 + 7³ + 3⁷ + 7⁶ + 6² .

It is not an unprimeable number, because it can be changed into a prime (2217379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3996 + ... + 4516.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

2^2217376 is an apocalyptic number.

2217376 is the 1216-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630880).

2217376 is an abundant number, since it is smaller than the sum of its proper divisors (3044384).

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

2217376 is a wasteful number, since it uses less digits than its factorization.

2217376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 2217376 is about 1489.0856254763. The cubic root of 2217376 is about 130.4006574044.

The spelling of 2217376 in words is "two million, two hundred seventeen thousand, three hundred seventy-six".