2242115040 has 192 divisors, whose sum is σ = 8158268160. Its totient is φ = 511549440.

The previous prime is 2242115039. The next prime is 2242115063. The reversal of 2242115040 is 405112422.

2242115040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2242114998 and 2242115016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77271 + ... + 102249.

It is an arithmetic number, because the mean of its divisors is an integer number (42490980).

Almost surely, 2^2242115040 is an apocalyptic number.

2242115040 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 2242115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079134080).

2242115040 is an abundant number, since it is smaller than the sum of its proper divisors (5916153120).

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

2242115040 is a wasteful number, since it uses less digits than its factorization.

2242115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25025 (or 25017 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2242115040 is about 47350.9771810466. The cubic root of 2242115040 is about 1308.8382062025.

Adding to 2242115040 its reverse (405112422), we get a palindrome (2647227462).

The spelling of 2242115040 in words is "two billion, two hundred forty-two million, one hundred fifteen thousand, forty".