2427936768 has 140 divisors (see below), whose sum is σ = 7255375380. Its totient is φ = 809091072.

The previous prime is 2427936767. The next prime is 2427936779. The reversal of 2427936768 is 8676397242.

2427936768 is a `hidden beast` number, since 2 + 4 + 279 + 367 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427936761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 661723 + ... + 665381.

Almost surely, 2^2427936768 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 2427936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627687690).

2427936768 is an abundant number, since it is smaller than the sum of its proper divisors (4827438612).

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

2427936768 is an frugal number, since it uses more digits than its factorization.

2427936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3664 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 2427936768 is about 49274.0983479150. The cubic root of 2427936768 is about 1344.0408150870.

The spelling of 2427936768 in words is "two billion, four hundred twenty-seven million, nine hundred thirty-six thousand, seven hundred sixty-eight".