2772252 has 96 divisors (see below), whose sum is σ = 8691200. Its totient is φ = 746496.

The previous prime is 2772247. The next prime is 2772257. The reversal of 2772252 is 2522772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2772247) and next prime (2772257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14268 + ... + 14460.

2^2772252 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 2772252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345600).

2772252 is an abundant number, since it is smaller than the sum of its proper divisors (5918948).

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

2772252 is a wasteful number, since it uses less digits than its factorization.

2772252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2772252 is about 1665.0081080884. The cubic root of 2772252 is about 140.4788365771.

Subtracting from 2772252 its sum of digits (27), we obtain a square (2772225 = 1665²).

The spelling of 2772252 in words is "two million, seven hundred seventy-two thousand, two hundred fifty-two".