2127241258560 has 2240 divisors, whose sum is σ = 9177123225600. Its totient is φ = 461931724800.

The previous prime is 2127241258517. The next prime is 2127241258619. The reversal of 2127241258560 is 658521427212.

2127241258560 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 2 + 4 + 1 + 2 + 585 + 60 = 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 319 ways as a sum of consecutive naturals, for example, 8900590921 + ... + 8900591159.

Almost surely, 2^{2127241258560} is an apocalyptic number.

2127241258560 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 2127241258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588561612800).

2127241258560 is an abundant number, since it is smaller than the sum of its proper divisors (7049881967040).

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

2127241258560 is a wasteful number, since it uses less digits than its factorization.

2127241258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 2127241258560 in words is "two trillion, one hundred twenty-seven billion, two hundred forty-one million, two hundred fifty-eight thousand, five hundred sixty".