2130782620968 has 192 divisors, whose sum is σ = 6037564478400. Its totient is φ = 678006927360.

The previous prime is 2130782620931. The next prime is 2130782620991. The reversal of 2130782620968 is 8690262870312.

2130782620968 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 7 + 8 + 2 + 620 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220961955 + ... + 220971597.

It is an arithmetic number, because the mean of its divisors is an integer number (31445648325).

Almost surely, 2^{2130782620968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130782620968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018782239200).

2130782620968 is an abundant number, since it is smaller than the sum of its proper divisors (3906781857432).

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

2130782620968 is a wasteful number, since it uses less digits than its factorization.

2130782620968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10865 counting only the distinct ones).

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

The spelling of 2130782620968 in words is "two trillion, one hundred thirty billion, seven hundred eighty-two million, six hundred twenty thousand, nine hundred sixty-eight".