2948859072000 has 1920 divisors, whose sum is σ = 11669125628160. Its totient is φ = 713687040000.

The previous prime is 2948859071993. The next prime is 2948859072011. The reversal of 2948859072000 is 2709588492.

2948859072000 is a `hidden beast` number, since 2 + 9 + 48 + 8 + 590 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33133247956 + ... + 33133248044.

It is an arithmetic number, because the mean of its divisors is an integer number (6077669598).

Almost surely, 2^{2948859072000} is an apocalyptic number.

2948859072000 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 2948859072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834562814080).

2948859072000 is an abundant number, since it is smaller than the sum of its proper divisors (8720266556160).

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

2948859072000 is a wasteful number, since it uses less digits than its factorization.

2948859072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2948859072000 in words is "two trillion, nine hundred forty-eight billion, eight hundred fifty-nine million, seventy-two thousand".