2543872878000 has 400 divisors, whose sum is σ = 9194813696640. Its totient is φ = 677911680000.

The previous prime is 2543872877993. The next prime is 2543872878031. The reversal of 2543872878000 is 8782783452.

2543872878000 is a `hidden beast` number, since 2 + 543 + 8 + 7 + 28 + 78 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291757641 + ... + 291766359.

Almost surely, 2^{2543872878000} is an apocalyptic number.

2543872878000 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 2543872878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597406848320).

2543872878000 is an abundant number, since it is smaller than the sum of its proper divisors (6650940818640).

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

2543872878000 is a wasteful number, since it uses less digits than its factorization.

2543872878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 2543872878000 in words is "two trillion, five hundred forty-three billion, eight hundred seventy-two million, eight hundred seventy-eight thousand".