2772648 has 48 divisors (see below), whose sum is σ = 7605780. Its totient is φ = 912384.

The previous prime is 2772647. The next prime is 2772697. The reversal of 2772648 is 8462772.

2772648 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 10404 = 1662^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2772643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6786 + ... + 7182.

2^2772648 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 2772648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802890).

2772648 is an abundant number, since it is smaller than the sum of its proper divisors (4833132).

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

2772648 is a wasteful number, since it uses less digits than its factorization.

2772648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 499 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2772648 is about 1665.1270221818. The cubic root of 2772648 is about 140.4855251190.

The spelling of 2772648 in words is "two million, seven hundred seventy-two thousand, six hundred forty-eight".