2242855440 has 240 divisors, whose sum is σ = 8987103360. Its totient is φ = 512628480.

The previous prime is 2242855421. The next prime is 2242855451. The reversal of 2242855440 is 445582422.

2242855440 is a `hidden beast` number, since 22 + 42 + 8 + 554 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2242855395 and 2242855404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95245 + ... + 116435.

It is an arithmetic number, because the mean of its divisors is an integer number (37446264).

Almost surely, 2^2242855440 is an apocalyptic number.

2242855440 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 2242855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493551680).

2242855440 is an abundant number, since it is smaller than the sum of its proper divisors (6744247920).

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

2242855440 is a wasteful number, since it uses less digits than its factorization.

2242855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 2242855440 is about 47358.7947481774. The cubic root of 2242855440 is about 1308.9822602379.

The spelling of 2242855440 in words is "two billion, two hundred forty-two million, eight hundred fifty-five thousand, four hundred forty".