2242130000 has 300 divisors, whose sum is σ = 6375724740. Its totient is φ = 760320000.

The previous prime is 2242129991. The next prime is 2242130021. The reversal of 2242130000 is 312422.

It can be written as a sum of positive squares in 10 ways, for example, as 1199098384 + 1043031616 = 34628^2 + 32296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20569946 + ... + 20570054.

Almost surely, 2^2242130000 is an apocalyptic number.

2242130000 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 2242130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187862370).

2242130000 is an abundant number, since it is smaller than the sum of its proper divisors (4133594740).

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

2242130000 is a wasteful number, since it uses less digits than its factorization.

2242130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2242130000 is about 47351.1351500679. The cubic root of 2242130000 is about 1308.8411171706.

Adding to 2242130000 its reverse (312422), we get a palindrome (2242442422).

The spelling of 2242130000 in words is "two billion, two hundred forty-two million, one hundred thirty thousand".