2742272 has 48 divisors (see below), whose sum is σ = 5962320. Its totient is φ = 1253376.

The previous prime is 2742263. The next prime is 2742277. The reversal of 2742272 is 2722472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26573 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

2^2742272 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 2742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981160).

2742272 is an abundant number, since it is smaller than the sum of its proper divisors (3220048).

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

2742272 is a wasteful number, since it uses less digits than its factorization.

2742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 2742272 is about 1655.9806762158. The cubic root of 2742272 is about 139.9706060739.

The spelling of 2742272 in words is "two million, seven hundred forty-two thousand, two hundred seventy-two".