2142964308000 has 384 divisors, whose sum is σ = 7438102753536. Its totient is φ = 537495552000.

The previous prime is 2142964307947. The next prime is 2142964308011. The reversal of 2142964308000 is 8034692412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142964308000.

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 63 ways as a sum of consecutive naturals, for example, 491841822 + ... + 491846178.

It is an arithmetic number, because the mean of its divisors is an integer number (19370059254).

Almost surely, 2^{2142964308000} is an apocalyptic number.

2142964308000 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 2142964308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719051376768).

2142964308000 is an abundant number, since it is smaller than the sum of its proper divisors (5295138445536).

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

2142964308000 is a wasteful number, since it uses less digits than its factorization.

2142964308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 2142964308000 in words is "two trillion, one hundred forty-two billion, nine hundred sixty-four million, three hundred eight thousand".