2241662976 has 468 divisors, whose sum is σ = 8084615292. Its totient is φ = 594542592.

The previous prime is 2241662963. The next prime is 2241663023. The reversal of 2241662976 is 6792661422.

2241662976 is a `hidden beast` number, since 2 + 2 + 4 + 16 + 629 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1519128576 + 722534400 = 38976^2 + 26880^2 .

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

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, 30707676 + ... + 30707748.

It is an arithmetic number, because the mean of its divisors is an integer number (17274819).

Almost surely, 2^2241662976 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 2241662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042307646).

2241662976 is an abundant number, since it is smaller than the sum of its proper divisors (5842952316).

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

2241662976 is a wasteful number, since it uses less digits than its factorization.

2241662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 102 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2241662976 is about 47346.2033958373. The cubic root of 2241662976 is about 1308.7502359312.

The spelling of 2241662976 in words is "two billion, two hundred forty-one million, six hundred sixty-two thousand, nine hundred seventy-six".