2762968 has 32 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 1232640.

The previous prime is 2762957. The next prime is 2763001. The reversal of 2762968 is 8692672.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2762968.

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, 2796 + ... + 3652.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

2^2762968 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 2762968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2762968 is an abundant number, since it is smaller than the sum of its proper divisors (3002792).

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

2762968 is a wasteful number, since it uses less digits than its factorization.

2762968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 2762968 is about 1662.2177955972. The cubic root of 2762968 is about 140.3218445818.

The spelling of 2762968 in words is "two million, seven hundred sixty-two thousand, nine hundred sixty-eight".