2127730928400 has 480 divisors, whose sum is σ = 9441848064000. Its totient is φ = 442125734400.

The previous prime is 2127730928381. The next prime is 2127730928417. The reversal of 2127730928400 is 48290377212.

2127730928400 is a `hidden beast` number, since 2 + 127 + 7 + 30 + 92 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447700 + ... + 2110899.

It is an arithmetic number, because the mean of its divisors is an integer number (19670516800).

Almost surely, 2^{2127730928400} is an apocalyptic number.

2127730928400 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 2127730928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720924032000).

2127730928400 is an abundant number, since it is smaller than the sum of its proper divisors (7314117135600).

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

2127730928400 is a wasteful number, since it uses less digits than its factorization.

2127730928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558644 (or 2558627 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2127730928400 in words is "two trillion, one hundred twenty-seven billion, seven hundred thirty million, nine hundred twenty-eight thousand, four hundred".