2742084 has 36 divisors (see below), whose sum is σ = 7054320. Its totient is φ = 897840.

The previous prime is 2742073. The next prime is 2742119. The reversal of 2742084 is 4802472.

2742084 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 1479 + ... + 2769.

2^2742084 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 2742084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527160).

2742084 is an abundant number, since it is smaller than the sum of its proper divisors (4312236).

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

2742084 is a wasteful number, since it uses less digits than its factorization.

2742084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2742084 is about 1655.9239112954. The cubic root of 2742084 is about 139.9674073789.

The spelling of 2742084 in words is "two million, seven hundred forty-two thousand, eighty-four".