2772336 has 80 divisors (see below), whose sum is σ = 8443904. Its totient is φ = 767232.

The previous prime is 2772331. The next prime is 2772383. The reversal of 2772336 is 6332772.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12321 + ... + 12543.

2^2772336 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 2772336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221952).

2772336 is an abundant number, since it is smaller than the sum of its proper divisors (5671568).

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

2772336 is a wasteful number, since it uses less digits than its factorization.

2772336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 2772336 is about 1665.0333329997. The cubic root of 2772336 is about 140.4802554119.

The spelling of 2772336 in words is "two million, seven hundred seventy-two thousand, three hundred thirty-six".