2772516 has 48 divisors (see below), whose sum is σ = 6935040. Its totient is φ = 860160.

The previous prime is 2772481. The next prime is 2772529. The reversal of 2772516 is 6152772.

It is a d-powerful number, because it can be written as 2²⁰ + 7⁴ + 7⁴ + 2²⁰ + 5⁸ + 1 + 6⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10660 + ... + 10916.

It is an arithmetic number, because the mean of its divisors is an integer number (144480).

2^2772516 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 2772516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467520).

2772516 is an abundant number, since it is smaller than the sum of its proper divisors (4162524).

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

2772516 is a wasteful number, since it uses less digits than its factorization.

2772516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 2772516 is about 1665.0873850942. The cubic root of 2772516 is about 140.4832956758.

The spelling of 2772516 in words is "two million, seven hundred seventy-two thousand, five hundred sixteen".