2768752 has 40 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 1163712.

The previous prime is 2768683. The next prime is 2768767. The reversal of 2768752 is 2578672.

2768752 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

2768752 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6399 + ... + 6817.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

2^2768752 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 2768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2768752 is an abundant number, since it is smaller than the sum of its proper divisors (3480848).

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

2768752 is a wasteful number, since it uses less digits than its factorization.

2768752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 2768752 is about 1663.9567302066. The cubic root of 2768752 is about 140.4196929652.

The spelling of 2768752 in words is "two million, seven hundred sixty-eight thousand, seven hundred fifty-two".