2420765568 has 128 divisors (see below), whose sum is σ = 7694349600. Its totient is φ = 744837120.

The previous prime is 2420765561. The next prime is 2420765569. The reversal of 2420765568 is 8655670242.

2420765568 is a `hidden beast` number, since 2 + 4 + 20 + 7 + 65 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420765561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17988 + ... + 71868.

Almost surely, 2^2420765568 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 2420765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847174800).

2420765568 is an abundant number, since it is smaller than the sum of its proper divisors (5273584032).

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

2420765568 is a wasteful number, since it uses less digits than its factorization.

2420765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53917 (or 53899 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2420765568 is about 49201.2760810124. The cubic root of 2420765568 is about 1342.7162486767.

The spelling of 2420765568 in words is "two billion, four hundred twenty million, seven hundred sixty-five thousand, five hundred sixty-eight".