2731440 has 80 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 688896.

The previous prime is 2731429. The next prime is 2731493. The reversal of 2731440 is 441372.

2731440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261 + ... + 4859.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

2^2731440 is an apocalyptic number.

2731440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2731440 is an abundant number, since it is smaller than the sum of its proper divisors (6196560).

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

2731440 is a wasteful number, since it uses less digits than its factorization.

2731440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2731440 is about 1652.7068705611. The cubic root of 2731440 is about 139.7860678173.

The spelling of 2731440 in words is "two million, seven hundred thirty-one thousand, four hundred forty".