2776842 has 40 divisors (see below), whose sum is σ = 6346692. Its totient is φ = 907200.

The previous prime is 2776841. The next prime is 2776843. The reversal of 2776842 is 2486772.

2776842 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 (2776841) and next prime (2776843).

It can be written as a sum of positive squares in 2 ways, for example, as 2653641 + 123201 = 1629^2 + 351^2 .

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2776797 and 2776806.

It is not an unprimeable number, because it can be changed into a prime (2776841) 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 19 ways as a sum of consecutive naturals, for example, 9742 + ... + 10022.

2^2776842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2776842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173346).

2776842 is an abundant number, since it is smaller than the sum of its proper divisors (3569850).

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

2776842 is a wasteful number, since it uses less digits than its factorization.

2776842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

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

The square root of 2776842 is about 1666.3859096860. The cubic root of 2776842 is about 140.5563237998.

The spelling of 2776842 in words is "two million, seven hundred seventy-six thousand, eight hundred forty-two".