2054384728704 has 384 divisors, whose sum is σ = 7803999665280. Its totient is φ = 502217441280.

The previous prime is 2054384728691. The next prime is 2054384728727. The reversal of 2054384728704 is 4078274834502.

2054384728704 is a `hidden beast` number, since 2 + 0 + 543 + 8 + 4 + 7 + 28 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2054384728704² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826792 + ... + 2189144.

It is an arithmetic number, because the mean of its divisors is an integer number (20322915795).

Almost surely, 2^{2054384728704} is an apocalyptic number.

2054384728704 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 2054384728704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901999832640).

2054384728704 is an abundant number, since it is smaller than the sum of its proper divisors (5749614936576).

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

2054384728704 is a wasteful number, since it uses less digits than its factorization.

2054384728704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362408 (or 1362393 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 2054384728704 in words is "two trillion, fifty-four billion, three hundred eighty-four million, seven hundred twenty-eight thousand, seven hundred four".