2781272 has 32 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1254144.

The previous prime is 2781271. The next prime is 2781293. The reversal of 2781272 is 2721872.

It is a super-3 number, since 3×2781272³ = 64543371211333906944, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4604 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

2^2781272 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 2781272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2781272 is an abundant number, since it is smaller than the sum of its proper divisors (2964328).

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

2781272 is a wasteful number, since it uses less digits than its factorization.

2781272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its digits is 3136, while the sum is 29.

The square root of 2781272 is about 1667.7146038816. The cubic root of 2781272 is about 140.6310290090.

The spelling of 2781272 in words is "two million, seven hundred eighty-one thousand, two hundred seventy-two".