2286121968 has 200 divisors, whose sum is σ = 7372965600. Its totient is φ = 679021056.

The previous prime is 2286121963. The next prime is 2286121969. The reversal of 2286121968 is 8691216822.

2286121968 is a `hidden beast` number, since 2 + 28 + 612 + 1 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286121963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 486253 + ... + 490931.

It is an arithmetic number, because the mean of its divisors is an integer number (36864828).

Almost surely, 2^2286121968 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 2286121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686482800).

2286121968 is an abundant number, since it is smaller than the sum of its proper divisors (5086843632).

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

2286121968 is a wasteful number, since it uses less digits than its factorization.

2286121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4726 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 2286121968 is about 47813.4078266756. The cubic root of 2286121968 is about 1317.3458237445.

The spelling of 2286121968 in words is "two billion, two hundred eighty-six million, one hundred twenty-one thousand, nine hundred sixty-eight".