2140272 has 60 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 701184.

The previous prime is 2140267. The next prime is 2140273. The reversal of 2140272 is 2720412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140273) 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 11 ways as a sum of consecutive naturals, for example, 12733 + ... + 12899.

It is an arithmetic number, because the mean of its divisors is an integer number (101556).

2^2140272 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 2140272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2140272 is an abundant number, since it is smaller than the sum of its proper divisors (3953088).

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

2140272 is a wasteful number, since it uses less digits than its factorization.

2140272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2140272 is about 1462.9668485649. The cubic root of 2140272 is about 128.8713337609.

Adding to 2140272 its reverse (2720412), we get a palindrome (4860684).

The spelling of 2140272 in words is "two million, one hundred forty thousand, two hundred seventy-two".