2612272 has 40 divisors (see below), whose sum is σ = 5746160. Its totient is φ = 1140480.

The previous prime is 2612257. The next prime is 2612287. The reversal of 2612272 is 2722162.

2612272 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2612257) and next prime (2612287).

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, 3622 + ... + 4282.

It is an arithmetic number, because the mean of its divisors is an integer number (143654).

2^2612272 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 2612272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873080).

2612272 is an abundant number, since it is smaller than the sum of its proper divisors (3133888).

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

2612272 is a wasteful number, since it uses less digits than its factorization.

2612272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 2612272 is about 1616.2524555279. The cubic root of 2612272 is about 137.7228913841.

The spelling of 2612272 in words is "two million, six hundred twelve thousand, two hundred seventy-two".