2786742 has 48 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 748800.

The previous prime is 2786741. The next prime is 2786743. The reversal of 2786742 is 2476872.

2786742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2786741) and next prime (2786743).

It is a junction number, because it is equal to n+sod(n) for n = 2786697 and 2786706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2786741) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1492 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

2^2786742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2786742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2786742 is an abundant number, since it is smaller than the sum of its proper divisors (4525290).

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

2786742 is a wasteful number, since it uses less digits than its factorization.

2786742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1330 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2786742 is about 1669.3537671806. The cubic root of 2786742 is about 140.7231628692.

The spelling of 2786742 in words is "two million, seven hundred eighty-six thousand, seven hundred forty-two".