2054756872800 has 432 divisors, whose sum is σ = 7655752344240. Its totient is φ = 537594071040.

The previous prime is 2054756872799. The next prime is 2054756872837. The reversal of 2054756872800 is 82786574502.

2054756872800 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 7 + 568 + 72 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 10203486 + ... + 10402914.

It is an arithmetic number, because the mean of its divisors is an integer number (17721648945).

Almost surely, 2^{2054756872800} is an apocalyptic number.

2054756872800 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 2054756872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827876172120).

2054756872800 is an abundant number, since it is smaller than the sum of its proper divisors (5600995471440).

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

2054756872800 is a wasteful number, since it uses less digits than its factorization.

2054756872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199517 (or 199492 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2054756872800 in words is "two trillion, fifty-four billion, seven hundred fifty-six million, eight hundred seventy-two thousand, eight hundred".