2768742 has 36 divisors (see below), whose sum is σ = 6258876. Its totient is φ = 918540.

The previous prime is 2768683. The next prime is 2768767. The reversal of 2768742 is 2478672.

It is a junction number, because it is equal to n+sod(n) for n = 2768697 and 2768706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13017 + ... + 13227.

2^2768742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129438).

2768742 is an abundant number, since it is smaller than the sum of its proper divisors (3490134).

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

2768742 is an frugal number, since it uses more digits than its factorization.

2768742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

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

The square root of 2768742 is about 1663.9537253181. The cubic root of 2768742 is about 140.4195239121.

The spelling of 2768742 in words is "two million, seven hundred sixty-eight thousand, seven hundred forty-two".