2242933056 has 252 divisors, whose sum is σ = 8055182772. Its totient is φ = 591446016.

The previous prime is 2242933027. The next prime is 2242933057. The reversal of 2242933056 is 6503392422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 749883456 + 1493049600 = 27384^2 + 38640^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2242933056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242933057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363856 + ... + 369968.

It is an arithmetic number, because the mean of its divisors is an integer number (31965011).

Almost surely, 2^2242933056 is an apocalyptic number.

2242933056 is a gapful number since it is divisible by the number (26) 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 2242933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027591386).

2242933056 is an abundant number, since it is smaller than the sum of its proper divisors (5812249716).

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

2242933056 is a wasteful number, since it uses less digits than its factorization.

2242933056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2242933056 is about 47359.6141876177. The cubic root of 2242933056 is about 1308.9973595608.

The spelling of 2242933056 in words is "two billion, two hundred forty-two million, nine hundred thirty-three thousand, fifty-six".