2242018800 has 180 divisors, whose sum is σ = 8892017680. Its totient is φ = 512455680.

The previous prime is 2242018777. The next prime is 2242018841. The reversal of 2242018800 is 88102422.

2242018800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19285 + ... + 69684.

Almost surely, 2^2242018800 is an apocalyptic number.

2242018800 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 2242018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446008840).

2242018800 is an abundant number, since it is smaller than the sum of its proper divisors (6649998880).

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

2242018800 is a wasteful number, since it uses less digits than its factorization.

2242018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89000 (or 88986 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2242018800 is about 47349.9609292341. The cubic root of 2242018800 is about 1308.8194791837.

The spelling of 2242018800 in words is "two billion, two hundred forty-two million, eighteen thousand, eight hundred".