2665768 has 32 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 1131840.

The previous prime is 2665763. The next prime is 2665771. The reversal of 2665768 is 8675662.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁸ + 6⁵ + 6⁶ + 5⁸ + 7⁵ + 6⁸ + 8⁶ .

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 2665768.

It is not an unprimeable number, because it can be changed into a prime (2665763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10005 + ... + 10267.

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

2^2665768 is an apocalyptic number.

2665768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2665768 is an abundant number, since it is smaller than the sum of its proper divisors (3099992).

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

2665768 is a wasteful number, since it uses less digits than its factorization.

2665768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 2665768 is about 1632.7179793216. The cubic root of 2665768 is about 138.6566756033.

The spelling of 2665768 in words is "two million, six hundred sixty-five thousand, seven hundred sixty-eight".