2240826444 has 96 divisors (see below), whose sum is σ = 6071726080. Its totient is φ = 722759760.

The previous prime is 2240826443. The next prime is 2240826487. The reversal of 2240826444 is 4446280422.

It is a happy number.

2240826444 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 8 + 2 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2240826399 and 2240826408.

It is not an unprimeable number, because it can be changed into a prime (2240826443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267057 + ... + 275319.

Almost surely, 2^2240826444 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 2240826444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035863040).

2240826444 is an abundant number, since it is smaller than the sum of its proper divisors (3830899636).

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

2240826444 is an equidigital number, since it uses as much as digits as its factorization.

2240826444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2240826444 is about 47337.3683679184. The cubic root of 2240826444 is about 1308.5874181664.

The spelling of 2240826444 in words is "two billion, two hundred forty million, eight hundred twenty-six thousand, four hundred forty-four".