2242144500 has 192 divisors, whose sum is σ = 6811983360. Its totient is φ = 572544000.

The previous prime is 2242144493. The next prime is 2242144507. The reversal of 2242144500 is 54412422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2242144493) and next prime (2242144507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242144507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3940216 + ... + 3940784.

It is an arithmetic number, because the mean of its divisors is an integer number (35479080).

Almost surely, 2^2242144500 is an apocalyptic number.

2242144500 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 2242144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405991680).

2242144500 is an abundant number, since it is smaller than the sum of its proper divisors (4569838860).

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

2242144500 is a wasteful number, since it uses less digits than its factorization.

2242144500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2242144500 is about 47351.2882612501. The cubic root of 2242144500 is about 1308.8439386180.

Adding to 2242144500 its reverse (54412422), we get a palindrome (2296556922).

The spelling of 2242144500 in words is "two billion, two hundred forty-two million, one hundred forty-four thousand, five hundred".