2992768 has 32 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 1475328.

The previous prime is 2992763. The next prime is 2992777. The reversal of 2992768 is 8672992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2992763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13071 + ... + 13297.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

2^2992768 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 2992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

2992768 is an abundant number, since it is smaller than the sum of its proper divisors (3053792).

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

2992768 is a wasteful number, since it uses less digits than its factorization.

2992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 2992768 is about 1729.9618492903. The cubic root of 2992768 is about 144.1089710141.

The spelling of 2992768 in words is "two million, nine hundred ninety-two thousand, seven hundred sixty-eight".