2774268 has 72 divisors (see below), whose sum is σ = 8168160. Its totient is φ = 777600.

The previous prime is 2774267. The next prime is 2774273. The reversal of 2774268 is 8624772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 7⁴ + 7⁶ + 4 + 2²¹ + 6 + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2774267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25398 + ... + 25506.

2^2774268 is an apocalyptic number.

2774268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2774268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084080).

2774268 is an abundant number, since it is smaller than the sum of its proper divisors (5393892).

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

2774268 is a wasteful number, since it uses less digits than its factorization.

2774268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2774268 is about 1665.6134005225. The cubic root of 2774268 is about 140.5128807059.

The spelling of 2774268 in words is "two million, seven hundred seventy-four thousand, two hundred sixty-eight".