2945880384000 has 640 divisors, whose sum is σ = 10485314611200. Its totient is φ = 731555020800.

The previous prime is 2945880383983. The next prime is 2945880384043. The reversal of 2945880384000 is 4830885492.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2945880384000² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 215225157 + ... + 215238843.

It is an arithmetic number, because the mean of its divisors is an integer number (16383304080).

Almost surely, 2^{2945880384000} is an apocalyptic number.

2945880384000 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 2945880384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242657305600).

2945880384000 is an abundant number, since it is smaller than the sum of its proper divisors (7539434227200).

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

2945880384000 is a wasteful number, since it uses less digits than its factorization.

2945880384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 2945880384000 in words is "two trillion, nine hundred forty-five billion, eight hundred eighty million, three hundred eighty-four thousand".