2611312 has 40 divisors (see below), whose sum is σ = 5682672. Its totient is φ = 1152000.

The previous prime is 2611291. The next prime is 2611321. The reversal of 2611312 is 2131162.

2611312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2611312² = 13637900722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6312 + ... + 6712.

2^2611312 is an apocalyptic number.

2611312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841336).

2611312 is an abundant number, since it is smaller than the sum of its proper divisors (3071360).

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

2611312 is a wasteful number, since it uses less digits than its factorization.

2611312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 2611312 is about 1615.9554449303. The cubic root of 2611312 is about 137.7060184379.

Adding to 2611312 its reverse (2131162), we get a palindrome (4742474).

The spelling of 2611312 in words is "two million, six hundred eleven thousand, three hundred twelve".