2945966588928 has 1232 divisors, whose sum is σ = 10144848678912. Its totient is φ = 846526464000.

The previous prime is 2945966588863. The next prime is 2945966589031. The reversal of 2945966588928 is 8298856695492.

2945966588928 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 9 + 6 + 6 + 588 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 111 ways as a sum of consecutive naturals, for example, 18073414575 + ... + 18073414737.

Almost surely, 2^{2945966588928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945966588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072424339456).

2945966588928 is an abundant number, since it is smaller than the sum of its proper divisors (7198882089984).

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

2945966588928 is a wasteful number, since it uses less digits than its factorization.

2945966588928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 2945966588928 in words is "two trillion, nine hundred forty-five billion, nine hundred sixty-six million, five hundred eighty-eight thousand, nine hundred twenty-eight".