2979889102848 has 480 divisors, whose sum is σ = 9584866529280. Its totient is φ = 805038981120.

The previous prime is 2979889102843. The next prime is 2979889102867. The reversal of 2979889102848 is 8482019889792.

It is a super-2 number, since 2×2979889102848² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2979889102848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979889102843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704296893 + ... + 704301123.

It is an arithmetic number, because the mean of its divisors is an integer number (19968471936).

Almost surely, 2^{2979889102848} is an apocalyptic number.

2979889102848 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 2979889102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792433264640).

2979889102848 is an abundant number, since it is smaller than the sum of its proper divisors (6604977426432).

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

2979889102848 is an equidigital number, since it uses as much as digits as its factorization.

2979889102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 75.

The spelling of 2979889102848 in words is "two trillion, nine hundred seventy-nine billion, eight hundred eighty-nine million, one hundred two thousand, eight hundred forty-eight".