2653312 has 32 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 1255680.

The previous prime is 2653271. The next prime is 2653319. The reversal of 2653312 is 2133562.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁷ + 6 + 5⁵ + 3¹² + 3¹³ + 1 + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2653319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1887 + ... + 2977.

2^2653312 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 2653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600).

2653312 is an abundant number, since it is smaller than the sum of its proper divisors (2915888).

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

2653312 is a wasteful number, since it uses less digits than its factorization.

2653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 2653312 is about 1628.8990146722. The cubic root of 2653312 is about 138.4403771396.

Adding to 2653312 its reverse (2133562), we get a palindrome (4786874).

The spelling of 2653312 in words is "two million, six hundred fifty-three thousand, three hundred twelve".