2240847440 has 120 divisors (see below), whose sum is σ = 5693932440. Its totient is φ = 815284224.

The previous prime is 2240847439. The next prime is 2240847451. The reversal of 2240847440 is 447480422.

It can be written as a sum of positive squares in 12 ways, for example, as 423701056 + 1817146384 = 20584^2 + 42628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2240847440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9785246 + ... + 9785474.

It is an arithmetic number, because the mean of its divisors is an integer number (47449437).

Almost surely, 2^2240847440 is an apocalyptic number.

2240847440 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 2240847440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846966220).

2240847440 is an abundant number, since it is smaller than the sum of its proper divisors (3453085000).

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

2240847440 is a wasteful number, since it uses less digits than its factorization.

2240847440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 2240847440 is about 47337.5901372260. The cubic root of 2240847440 is about 1308.5915052025.

The spelling of 2240847440 in words is "two billion, two hundred forty million, eight hundred forty-seven thousand, four hundred forty".