2278272 has 64 divisors (see below), whose sum is σ = 6426000. Its totient is φ = 712704.

The previous prime is 2278261. The next prime is 2278277. The reversal of 2278272 is 2728722.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 2 + 2⁷ + 7³ + 8⁵ + 2¹⁷ + 7⁵ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6354 + ... + 6702.

2^2278272 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 2278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213000).

2278272 is an abundant number, since it is smaller than the sum of its proper divisors (4147728).

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

2278272 is a wasteful number, since it uses less digits than its factorization.

2278272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 2278272 is about 1509.3945806183. The cubic root of 2278272 is about 131.5836283191.

The spelling of 2278272 in words is "two million, two hundred seventy-eight thousand, two hundred seventy-two".