2879142319872 has 1782 divisors, whose sum is σ = 11330770466232. Its totient is φ = 726319706112.

The previous prime is 2879142319811. The next prime is 2879142319883. The reversal of 2879142319872 is 2789132419782.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24385536) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

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 197 ways as a sum of consecutive naturals, for example, 125180100853 + ... + 125180100875.

Almost surely, 2^{2879142319872} 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 2879142319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665385233116).

2879142319872 is an abundant number, since it is smaller than the sum of its proper divisors (8451628146360).

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

2879142319872 is an frugal number, since it uses more digits than its factorization.

2879142319872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 2879142319872 in words is "two trillion, eight hundred seventy-nine billion, one hundred forty-two million, three hundred nineteen thousand, eight hundred seventy-two".