2740128 has 96 divisors (see below), whose sum is σ = 8055936. Its totient is φ = 811008.

The previous prime is 2740093. The next prime is 2740139. The reversal of 2740128 is 8210472.

2740128 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2740098 and 2740107.

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, 37500 + ... + 37572.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

2^2740128 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 2740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968).

2740128 is an abundant number, since it is smaller than the sum of its proper divisors (5315808).

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

2740128 is a wasteful number, since it uses less digits than its factorization.

2740128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2740128 is about 1655.3331990871. Note that the first 3 decimals coincide. The cubic root of 2740128 is about 139.9341186622.

The spelling of 2740128 in words is "two million, seven hundred forty thousand, one hundred twenty-eight".