2247792768 has 448 divisors, whose sum is σ = 7725979800. Its totient is φ = 644972544.

The previous prime is 2247792761. The next prime is 2247792787. The reversal of 2247792768 is 8672977422.

It is a happy number.

2247792768 is a `hidden beast` number, since 22 + 477 + 92 + 7 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1999162944 + 248629824 = 44712^2 + 15768^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4741632) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2247792761) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 20621898 + ... + 20622006.

Almost surely, 2^2247792768 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 2247792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862989900).

2247792768 is an abundant number, since it is smaller than the sum of its proper divisors (5478187032).

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

2247792768 is a wasteful number, since it uses less digits than its factorization.

2247792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 2247792768 is about 47410.8929255714. The cubic root of 2247792768 is about 1309.9420691901.

The spelling of 2247792768 in words is "two billion, two hundred forty-seven million, seven hundred ninety-two thousand, seven hundred sixty-eight".