2772016 has 20 divisors (see below), whose sum is σ = 5784352. Its totient is φ = 1279296.

The previous prime is 2771999. The next prime is 2772017. The reversal of 2772016 is 6102772.

It is not an unprimeable number, because it can be changed into a prime (2772017) 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, 6456 + ... + 6871.

2^2772016 is an apocalyptic number.

2772016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2772016 is an abundant number, since it is smaller than the sum of its proper divisors (3012336).

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

2772016 is a wasteful number, since it uses less digits than its factorization.

2772016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2772016 is about 1664.9372360543. The cubic root of 2772016 is about 140.4748501735.

Adding to 2772016 its reverse (6102772), we get a palindrome (8874788).

The spelling of 2772016 in words is "two million, seven hundred seventy-two thousand, sixteen".