2661312 has 56 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 871168.

The previous prime is 2661283. The next prime is 2661317. The reversal of 2661312 is 2131662.

It is a happy number.

It is a super-2 number, since 2×2661312² = 14165163122688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661317) 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, 15853 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

2^2661312 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 2661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2661312 is an abundant number, since it is smaller than the sum of its proper divisors (4507584).

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

2661312 is a wasteful number, since it uses less digits than its factorization.

2661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2661312 is about 1631.3528128520. The cubic root of 2661312 is about 138.5793747120.

Adding to 2661312 its reverse (2131662), we get a palindrome (4792974).

The spelling of 2661312 in words is "two million, six hundred sixty-one thousand, three hundred twelve".