2879997120000 has 4800 divisors, whose sum is σ = 14852888354304. Its totient is φ = 537477120000.

The previous prime is 2879997119971. The next prime is 2879997120019. The reversal of 2879997120000 is 217999782.

2879997120000 is a `hidden beast` number, since 287 + 9 + 99 + 71 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×2879997120000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 77837759982 + ... + 77837760018.

Almost surely, 2^{2879997120000} is an apocalyptic number.

2879997120000 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 2879997120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426444177152).

2879997120000 is an abundant number, since it is smaller than the sum of its proper divisors (11972891234304).

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

2879997120000 is an equidigital number, since it uses as much as digits as its factorization.

2879997120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 2879997120000 in words is "two trillion, eight hundred seventy-nine billion, nine hundred ninety-seven million, one hundred twenty thousand".