2054838288384 has 640 divisors, whose sum is σ = 7066556640000. Its totient is φ = 578008645632.

The previous prime is 2054838288383. The next prime is 2054838288407. The reversal of 2054838288384 is 4838828384502.

2054838288384 is a `hidden beast` number, since 2 + 0 + 548 + 3 + 8 + 2 + 8 + 8 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2054838288383) 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, 8819048332 + ... + 8819048564.

It is an arithmetic number, because the mean of its divisors is an integer number (11041494750).

Almost surely, 2^{2054838288384} is an apocalyptic number.

2054838288384 is a gapful number since it is divisible by the number (24) 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 2054838288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533278320000).

2054838288384 is an abundant number, since it is smaller than the sum of its proper divisors (5011718351616).

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

2054838288384 is an frugal number, since it uses more digits than its factorization.

2054838288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 2054838288384 in words is "two trillion, fifty-four billion, eight hundred thirty-eight million, two hundred eighty-eight thousand, three hundred eighty-four".