2452063200768 has 320 divisors, whose sum is σ = 7530327552000. Its totient is φ = 786985943040.

The previous prime is 2452063200767. The next prime is 2452063200781. The reversal of 2452063200768 is 8670023602542.

2452063200768 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 0 + 632 + 0 + 0 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×2452063200768² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452063200767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85265880 + ... + 85294632.

It is an arithmetic number, because the mean of its divisors is an integer number (23532273600).

Almost surely, 2^{2452063200768} 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 2452063200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765163776000).

2452063200768 is an abundant number, since it is smaller than the sum of its proper divisors (5078264351232).

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

2452063200768 is a wasteful number, since it uses less digits than its factorization.

2452063200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29010 (or 28988 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2452063200768 in words is "two trillion, four hundred fifty-two billion, sixty-three million, two hundred thousand, seven hundred sixty-eight".