2242587168 has 384 divisors, whose sum is σ = 7239456000. Its totient is φ = 673505280.

The previous prime is 2242587163. The next prime is 2242587247. The reversal of 2242587168 is 8617852422.

2242587168 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 587 + 1 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2242587163) 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, 38009923 + ... + 38009981.

It is an arithmetic number, because the mean of its divisors is an integer number (18852750).

Almost surely, 2^2242587168 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 2242587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2242587168 is an abundant number, since it is smaller than the sum of its proper divisors (4996868832).

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

2242587168 is a wasteful number, since it uses less digits than its factorization.

2242587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2242587168 is about 47355.9623278843. The cubic root of 2242587168 is about 1308.9300682442.

The spelling of 2242587168 in words is "two billion, two hundred forty-two million, five hundred eighty-seven thousand, one hundred sixty-eight".