2242315520 has 72 divisors (see below), whose sum is σ = 5472552456. Its totient is φ = 879976448.

The previous prime is 2242315519. The next prime is 2242315541. The reversal of 2242315520 is 255132422.

It can be written as a sum of positive squares in 4 ways, for example, as 765296896 + 1477018624 = 27664^2 + 38432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2242315520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51314 + ... + 84366.

It is an arithmetic number, because the mean of its divisors is an integer number (76007673).

Almost surely, 2^2242315520 is an apocalyptic number.

2242315520 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 2242315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736276228).

2242315520 is an abundant number, since it is smaller than the sum of its proper divisors (3230236936).

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

2242315520 is an equidigital number, since it uses as much as digits as its factorization.

2242315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33127 (or 33113 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2242315520 is about 47353.0940910940. The cubic root of 2242315520 is about 1308.8772152124.

Adding to 2242315520 its reverse (255132422), we get a palindrome (2497447942).

The spelling of 2242315520 in words is "two billion, two hundred forty-two million, three hundred fifteen thousand, five hundred twenty".