2278240 has 48 divisors (see below), whose sum is σ = 5579280. Its totient is φ = 878080.

The previous prime is 2278229. The next prime is 2278249. The reversal of 2278240 is 428722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278249) 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, 4395 + ... + 4885.

It is an arithmetic number, because the mean of its divisors is an integer number (116235).

2^2278240 is an apocalyptic number.

2278240 is a gapful number since it is divisible by the number (20) 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 2278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789640).

2278240 is an abundant number, since it is smaller than the sum of its proper divisors (3301040).

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

2278240 is a wasteful number, since it uses less digits than its factorization.

2278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2278240 is about 1509.3839803045. The cubic root of 2278240 is about 131.5830122534.

It can be divided in two parts, 22782 and 40, that added together give a palindrome (22822).

The spelling of 2278240 in words is "two million, two hundred seventy-eight thousand, two hundred forty".