2142864655008 has 576 divisors, whose sum is σ = 7143702128640. Its totient is φ = 550519326720.

The previous prime is 2142864654977. The next prime is 2142864655013. The reversal of 2142864655008 is 8005564682412.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4881240453 + ... + 4881240891.

It is an arithmetic number, because the mean of its divisors is an integer number (12402260640).

Almost surely, 2^{2142864655008} is an apocalyptic number.

2142864655008 is a gapful number since it is divisible by the number (28) 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 2142864655008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571851064320).

2142864655008 is an abundant number, since it is smaller than the sum of its proper divisors (5000837473632).

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

2142864655008 is a wasteful number, since it uses less digits than its factorization.

2142864655008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 2142864655008 in words is "two trillion, one hundred forty-two billion, eight hundred sixty-four million, six hundred fifty-five thousand, eight".