2878752827520 has 768 divisors, whose sum is σ = 10648259481600. Its totient is φ = 715346214912.

The previous prime is 2878752827449. The next prime is 2878752827527. The reversal of 2878752827520 is 257282578782.

2878752827520 is a `hidden beast` number, since 2 + 8 + 7 + 87 + 5 + 2 + 8 + 27 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (2878752827527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573111729 + ... + 573116751.

It is an arithmetic number, because the mean of its divisors is an integer number (13864921200).

Almost surely, 2^{2878752827520} is an apocalyptic number.

2878752827520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2878752827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324129740800).

2878752827520 is an abundant number, since it is smaller than the sum of its proper divisors (7769506654080).

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

2878752827520 is a wasteful number, since it uses less digits than its factorization.

2878752827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 2878752827520 in words is "two trillion, eight hundred seventy-eight billion, seven hundred fifty-two million, eight hundred twenty-seven thousand, five hundred twenty".