2128887152640 has 588 divisors, whose sum is σ = 7674238871964. Its totient is φ = 566684024832.

The previous prime is 2128887152633. The next prime is 2128887152641. The reversal of 2128887152640 is 462517888212.

2128887152640 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 8 + 8 + 71 + 526 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 440301256704 + 1688585895936 = 663552^2 + 1299456^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2128887152641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3822059242 + ... + 3822059798.

It is an arithmetic number, because the mean of its divisors is an integer number (13051426653).

Almost surely, 2^{2128887152640} is an apocalyptic number.

2128887152640 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 2128887152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837119435982).

2128887152640 is an abundant number, since it is smaller than the sum of its proper divisors (5545351719324).

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

2128887152640 is an frugal number, since it uses more digits than its factorization.

2128887152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2128887152640 in words is "two trillion, one hundred twenty-eight billion, eight hundred eighty-seven million, one hundred fifty-two thousand, six hundred forty".