2879241960000 has 840 divisors, whose sum is σ = 11283798778560. Its totient is φ = 645625344000.

The previous prime is 2879241959987. The next prime is 2879241960017. The reversal of 2879241960000 is 691429782.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 119 ways as a sum of consecutive naturals, for example, 311635381 + ... + 311644619.

It is an arithmetic number, because the mean of its divisors is an integer number (13433093784).

Almost surely, 2^{2879241960000} is an apocalyptic number.

2879241960000 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 2879241960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641899389280).

2879241960000 is an abundant number, since it is smaller than the sum of its proper divisors (8404556818560).

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

2879241960000 is an equidigital number, since it uses as much as digits as its factorization.

2879241960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9341 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 2879241960000 in words is "two trillion, eight hundred seventy-nine billion, two hundred forty-one million, nine hundred sixty thousand".