2778272 has 48 divisors (see below), whose sum is σ = 6370560. Its totient is φ = 1168128.

The previous prime is 2778263. The next prime is 2778277. The reversal of 2778272 is 2728772.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2778277) 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, 17618 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (132720).

2^2778272 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 2778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185280).

2778272 is an abundant number, since it is smaller than the sum of its proper divisors (3592288).

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

2778272 is a wasteful number, since it uses less digits than its factorization.

2778272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 2778272 is about 1666.8149267390. The cubic root of 2778272 is about 140.5804472526.

The spelling of 2778272 in words is "two million, seven hundred seventy-eight thousand, two hundred seventy-two".