2946051343872 has 1920 divisors, whose sum is σ = 11861090841600. Its totient is φ = 701061267456.

The previous prime is 2946051343867. The next prime is 2946051343897. The reversal of 2946051343872 is 2783431506492.

2946051343872 is a `hidden beast` number, since 2 + 9 + 4 + 6 + 0 + 513 + 43 + 87 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 12643997068 + ... + 12643997300.

It is an arithmetic number, because the mean of its divisors is an integer number (6177651480).

It is a 1-persistent number, because it is pandigital, but 2⋅2946051343872 = 5892102687744 is not.

Almost surely, 2^{2946051343872} 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 2946051343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930545420800).

2946051343872 is an abundant number, since it is smaller than the sum of its proper divisors (8915039497728).

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

2946051343872 is a wasteful number, since it uses less digits than its factorization.

2946051343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2946051343872 in words is "two trillion, nine hundred forty-six billion, fifty-one million, three hundred forty-three thousand, eight hundred seventy-two".