2772306 has 40 divisors (see below), whose sum is σ = 6308940. Its totient is φ = 909792.

The previous prime is 2772293. The next prime is 2772311. The reversal of 2772306 is 6032772.

It can be written as a sum of positive squares in 2 ways, for example, as 2772225 + 81 = 1665^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2772306.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17580 + ... + 17736.

2^2772306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154470).

2772306 is an abundant number, since it is smaller than the sum of its proper divisors (3536634).

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

2772306 is a wasteful number, since it uses less digits than its factorization.

2772306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2772306 is about 1665.0243241466. The cubic root of 2772306 is about 140.4797486885.

The spelling of 2772306 in words is "two million, seven hundred seventy-two thousand, three hundred six".