2262016 has 33 divisors (see below), whose sum is σ = 4620079. Its totient is φ = 1106944.

The previous prime is 2261993. The next prime is 2262017. The reversal of 2262016 is 6102622.

The square root of 2262016 is 1504.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2261984 and 2262002.

It is not an unprimeable number, because it can be changed into a prime (2262017) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48105 + ... + 48151.

2^2262016 is an apocalyptic number.

2262016 is the 1504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262016

2262016 is an abundant number, since it is smaller than the sum of its proper divisors (2358063).

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

2262016 is an frugal number, since it uses more digits than its factorization.

2262016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The cubic root of 2262016 is about 131.2699210881.

Adding to 2262016 its reverse (6102622), we get a palindrome (8364638).

Subtracting 2262016 from its reverse (6102622), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 2262016 in words is "two million, two hundred sixty-two thousand, sixteen".