2452128768 has 176 divisors, whose sum is σ = 7498897920. Its totient is φ = 790732800.

The previous prime is 2452128761. The next prime is 2452128821. The reversal of 2452128768 is 8678212542.

2452128768 is a `hidden beast` number, since 2 + 452 + 128 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2452128761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855658 + ... + 858518.

Almost surely, 2^2452128768 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 2452128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749448960).

2452128768 is an abundant number, since it is smaller than the sum of its proper divisors (5046769152).

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

2452128768 is a wasteful number, since it uses less digits than its factorization.

2452128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2897 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2452128768 is about 49518.9738181235. The cubic root of 2452128768 is about 1348.4900846956.

The spelling of 2452128768 in words is "two billion, four hundred fifty-two million, one hundred twenty-eight thousand, seven hundred sixty-eight".