2262768 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 683008.

The previous prime is 2262761. The next prime is 2262769. The reversal of 2262768 is 8672622.

Its product of digits (16128) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38323 + ... + 38381.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2^2262768 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 2262768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2262768 is an abundant number, since it is smaller than the sum of its proper divisors (4165392).

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

2262768 is a wasteful number, since it uses less digits than its factorization.

2262768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 2262768 is about 1504.2499792255. The cubic root of 2262768 is about 131.2844662318.

The spelling of 2262768 in words is "two million, two hundred sixty-two thousand, seven hundred sixty-eight".