2242513020 has 192 divisors, whose sum is σ = 7098803712. Its totient is φ = 524160000.

The previous prime is 2242513001. The next prime is 2242513033. The reversal of 2242513020 is 203152422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3198670 + ... + 3199370.

It is an arithmetic number, because the mean of its divisors is an integer number (36972936).

Almost surely, 2^2242513020 is an apocalyptic number.

2242513020 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 2242513020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549401856).

2242513020 is an abundant number, since it is smaller than the sum of its proper divisors (4856290692).

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

2242513020 is a wasteful number, since it uses less digits than its factorization.

2242513020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2242513020 is about 47355.1794421687. The cubic root of 2242513020 is about 1308.9156421062.

Adding to 2242513020 its reverse (203152422), we get a palindrome (2445665442).

The spelling of 2242513020 in words is "two billion, two hundred forty-two million, five hundred thirteen thousand, twenty".