2881384128000 has 1920 divisors, whose sum is σ = 12695626285056. Its totient is φ = 613122048000.

The previous prime is 2881384127977. The next prime is 2881384128041. The reversal of 2881384128000 is 8214831882.

It is a happy number.

2881384128000 is a `hidden beast` number, since 28 + 8 + 138 + 412 + 80 + 0 + 0 = 666.

2881384128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8705087835 + ... + 8705088165.

Almost surely, 2^{2881384128000} is an apocalyptic number.

2881384128000 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 2881384128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347813142528).

2881384128000 is an abundant number, since it is smaller than the sum of its proper divisors (9814242157056).

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

2881384128000 is a wasteful number, since it uses less digits than its factorization.

2881384128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

Adding to 2881384128000 its reverse (8214831882), we get a palindrome (2889598959882).

The spelling of 2881384128000 in words is "two trillion, eight hundred eighty-one billion, three hundred eighty-four million, one hundred twenty-eight thousand".