2142868828008 has 128 divisors (see below), whose sum is σ = 5584636108800. Its totient is φ = 684361440000.

The previous prime is 2142868827991. The next prime is 2142868828033. The reversal of 2142868828008 is 8008288682412.

It is a super-3 number, since 3×2142868828008³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47319985 + ... + 47365247.

It is an arithmetic number, because the mean of its divisors is an integer number (43629969600).

Almost surely, 2^{2142868828008} 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 2142868828008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792318054400).

2142868828008 is an abundant number, since it is smaller than the sum of its proper divisors (3441767280792).

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

2142868828008 is a wasteful number, since it uses less digits than its factorization.

2142868828008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45823 (or 45819 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 57.

The spelling of 2142868828008 in words is "two trillion, one hundred forty-two billion, eight hundred sixty-eight million, eight hundred twenty-eight thousand, eight".