7105242240 has 448 divisors, whose sum is σ = 25893738360. Its totient is φ = 1863254016.

The previous prime is 7105242173. The next prime is 7105242247. The reversal of 7105242240 is 422425017.

It can be written as a sum of positive squares in 4 ways, for example, as 4867573824 + 2237668416 = 69768^2 + 47304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7105242247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45256242 + ... + 45256398.

Almost surely, 2^7105242240 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 7105242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12946869180).

7105242240 is an abundant number, since it is smaller than the sum of its proper divisors (18788496120).

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

7105242240 is an equidigital number, since it uses as much as digits as its factorization.

7105242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 7105242240 is about 84292.5989633728. The cubic root of 7105242240 is about 1922.4702579212.

Adding to 7105242240 its reverse (422425017), we get a palindrome (7527667257).

The spelling of 7105242240 in words is "seven billion, one hundred five million, two hundred forty-two thousand, two hundred forty".