2948417856000 has 960 divisors, whose sum is σ = 10919266300800. Its totient is φ = 764375040000.

The previous prime is 2948417855963. The next prime is 2948417856001. The reversal of 2948417856000 is 6587148492.

It is a happy number.

2948417856000 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 4 + 1 + 78 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (2948417856001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3432383571 + ... + 3432384429.

It is an arithmetic number, because the mean of its divisors is an integer number (11374235730).

Almost surely, 2^{2948417856000} is an apocalyptic number.

2948417856000 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 2948417856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459633150400).

2948417856000 is an abundant number, since it is smaller than the sum of its proper divisors (7970848444800).

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

2948417856000 is a wasteful number, since it uses less digits than its factorization.

2948417856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2948417856000 in words is "two trillion, nine hundred forty-eight billion, four hundred seventeen million, eight hundred fifty-six thousand".