2777268 has 48 divisors (see below), whose sum is σ = 7353920. Its totient is φ = 808704.

The previous prime is 2777267. The next prime is 2777293. The reversal of 2777268 is 8627772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777261) 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, 2496 + ... + 3432.

2^2777268 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 2777268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676960).

2777268 is an abundant number, since it is smaller than the sum of its proper divisors (4576652).

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

2777268 is a wasteful number, since it uses less digits than its factorization.

2777268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 2777268 is about 1666.5137263161. The cubic root of 2777268 is about 140.5635110929.

The spelling of 2777268 in words is "two million, seven hundred seventy-seven thousand, two hundred sixty-eight".