2129807942640 has 240 divisors, whose sum is σ = 8185304964096. Its totient is φ = 486164160000.

The previous prime is 2129807942627. The next prime is 2129807942641. The reversal of 2129807942640 is 462497089212.

It is a happy number.

2129807942640 is a `hidden beast` number, since 2 + 1 + 298 + 0 + 7 + 94 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129807942641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3503695 + ... + 4066385.

Almost surely, 2^{2129807942640} is an apocalyptic number.

2129807942640 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 2129807942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092652482048).

2129807942640 is an abundant number, since it is smaller than the sum of its proper divisors (6055497021456).

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

2129807942640 is a wasteful number, since it uses less digits than its factorization.

2129807942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563468 (or 563459 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2129807942640 in words is "two trillion, one hundred twenty-nine billion, eight hundred seven million, nine hundred forty-two thousand, six hundred forty".