2265216 has 64 divisors (see below), whose sum is σ = 6389280. Its totient is φ = 708608.

The previous prime is 2265173. The next prime is 2265223. The reversal of 2265216 is 6125622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6355 + ... + 6701.

2^2265216 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 2265216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194640).

2265216 is an abundant number, since it is smaller than the sum of its proper divisors (4124064).

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

2265216 is a wasteful number, since it uses less digits than its factorization.

2265216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2265216 is about 1505.0634538118. The cubic root of 2265216 is about 131.3317930082.

The spelling of 2265216 in words is "two million, two hundred sixty-five thousand, two hundred sixteen".