2127377565040 has 320 divisors, whose sum is σ = 6137607168000. Its totient is φ = 667769905152.

The previous prime is 2127377565037. The next prime is 2127377565067. The reversal of 2127377565040 is 405657737212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457596636 + ... + 457601284.

It is an arithmetic number, because the mean of its divisors is an integer number (19180022400).

Almost surely, 2^{2127377565040} is an apocalyptic number.

2127377565040 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 2127377565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068803584000).

2127377565040 is an abundant number, since it is smaller than the sum of its proper divisors (4010229602960).

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

2127377565040 is a wasteful number, since it uses less digits than its factorization.

2127377565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 49.

It can be divided in two parts, 212737 and 7565040, that added together give a palindrome (7777777).

The spelling of 2127377565040 in words is "two trillion, one hundred twenty-seven billion, three hundred seventy-seven million, five hundred sixty-five thousand, forty".