2242987968 has 224 divisors, whose sum is σ = 6759244800. Its totient is φ = 651239424.

The previous prime is 2242987937. The next prime is 2242987997. The reversal of 2242987968 is 8697892422.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5109093 + ... + 5109531.

It is an arithmetic number, because the mean of its divisors is an integer number (30175200).

Almost surely, 2^2242987968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379622400).

2242987968 is an abundant number, since it is smaller than the sum of its proper divisors (4516256832).

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

2242987968 is a wasteful number, since it uses less digits than its factorization.

2242987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 569 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 2242987968 is about 47360.1939185219. The cubic root of 2242987968 is about 1309.0080418645.

The spelling of 2242987968 in words is "two billion, two hundred forty-two million, nine hundred eighty-seven thousand, nine hundred sixty-eight".