2054458328832 has 1008 divisors, whose sum is σ = 7966950799360. Its totient is φ = 513236901888.

The previous prime is 2054458328773. The next prime is 2054458328843. The reversal of 2054458328832 is 2388238544502.

2054458328832 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 4 + 583 + 28 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 322669713 + ... + 322676079.

Almost surely, 2^{2054458328832} 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 2054458328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983475399680).

2054458328832 is an abundant number, since it is smaller than the sum of its proper divisors (5912492470528).

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

2054458328832 is an equidigital number, since it uses as much as digits as its factorization.

2054458328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 2054458328832 in words is "two trillion, fifty-four billion, four hundred fifty-eight million, three hundred twenty-eight thousand, eight hundred thirty-two".