2772288 has 42 divisors (see below), whose sum is σ = 7947914. Its totient is φ = 923904.

The previous prime is 2772281. The next prime is 2772293. The reversal of 2772288 is 8822772.

It can be written as a sum of positive squares in only one way, i.e., 2585664 + 186624 = 1608^2 + 432^2 .

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

It is a d-powerful number, because it can be written as 2¹⁴ + 7⁵ + 7⁶ + 2¹⁸ + 2²¹ + 8 + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1831 + ... + 2982.

2^2772288 is an apocalyptic number.

It is an amenable number.

2772288 is an abundant number, since it is smaller than the sum of its proper divisors (5175626).

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

2772288 is a wasteful number, since it uses less digits than its factorization.

2772288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4818 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2772288 is about 1665.0189188114. The cubic root of 2772288 is about 140.4794446527.

The spelling of 2772288 in words is "two million, seven hundred seventy-two thousand, two hundred eighty-eight".