2301312 has 64 divisors (see below), whose sum is σ = 6597360. Its totient is φ = 706560.

The previous prime is 2301301. The next prime is 2301319. The reversal of 2301312 is 2131032.

It is a happy number.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301319) 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, 4762 + ... + 5222.

2^2301312 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 2301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298680).

2301312 is an abundant number, since it is smaller than the sum of its proper divisors (4296048).

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

2301312 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 2301312 = (1332012)₁₁.

2301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2301312 is about 1517.0075807325. The cubic root of 2301312 is about 132.0257066554.

Adding to 2301312 its reverse (2131032), we get a palindrome (4432344).

The spelling of 2301312 in words is "two million, three hundred one thousand, three hundred twelve".