2745927475200 has 3360 divisors, whose sum is σ = 13379958877824. Its totient is φ = 540184412160.

The previous prime is 2745927475121. The next prime is 2745927475229. The reversal of 2745927475200 is 25747295472.

2745927475200 is a `hidden beast` number, since 2 + 7 + 4 + 59 + 27 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25662873547 + ... + 25662873653.

Almost surely, 2^{2745927475200} is an apocalyptic number.

2745927475200 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 2745927475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689979438912).

2745927475200 is an abundant number, since it is smaller than the sum of its proper divisors (10634031402624).

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

2745927475200 is a wasteful number, since it uses less digits than its factorization.

2745927475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 2745927475200 in words is "two trillion, seven hundred forty-five billion, nine hundred twenty-seven million, four hundred seventy-five thousand, two hundred".