2677542 has 32 divisors (see below), whose sum is σ = 6289152. Its totient is φ = 743904.

The previous prime is 2677531. The next prime is 2677559. The reversal of 2677542 is 2457762.

2677542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 693 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (196536).

2^2677542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2677542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144576).

2677542 is an abundant number, since it is smaller than the sum of its proper divisors (3611610).

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

2677542 is a wasteful number, since it uses less digits than its factorization.

2677542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772.

The product of its digits is 23520, while the sum is 33.

The square root of 2677542 is about 1636.3196509240. The cubic root of 2677542 is about 138.8605125554.

The spelling of 2677542 in words is "two million, six hundred seventy-seven thousand, five hundred forty-two".