2768892 has 72 divisors (see below), whose sum is σ = 7986384. Its totient is φ = 741888.

The previous prime is 2768873. The next prime is 2768893. The reversal of 2768892 is 2988672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9858 + ... + 10134.

It is an arithmetic number, because the mean of its divisors is an integer number (110922).

2^2768892 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 2768892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993192).

2768892 is an abundant number, since it is smaller than the sum of its proper divisors (5217492).

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

2768892 is a wasteful number, since it uses less digits than its factorization.

2768892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2768892 is about 1663.9987980765. The cubic root of 2768892 is about 140.4220596664.

The spelling of 2768892 in words is "two million, seven hundred sixty-eight thousand, eight hundred ninety-two".