2261016 has 48 divisors (see below), whose sum is σ = 6327360. Its totient is φ = 728640.

The previous prime is 2261009. The next prime is 2261023. The reversal of 2261016 is 6101622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2261009) and next prime (2261023).

It is a super-3 number, since 3×2261016³ = 34676252893633356288, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2261016.

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 11 ways as a sum of consecutive naturals, for example, 1726 + ... + 2738.

It is an arithmetic number, because the mean of its divisors is an integer number (131820).

2^2261016 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 2261016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163680).

2261016 is an abundant number, since it is smaller than the sum of its proper divisors (4066344).

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

2261016 is a wasteful number, since it uses less digits than its factorization.

2261016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2261016 is about 1503.6675164411. The cubic root of 2261016 is about 131.2505741471.

Adding to 2261016 its reverse (6101622), we get a palindrome (8362638).

Subtracting 2261016 from its reverse (6101622), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 2261016 in words is "two million, two hundred sixty-one thousand, sixteen".