2952775643328 has 336 divisors, whose sum is σ = 10059005698560. Its totient is φ = 841289048064.

The previous prime is 2952775643297. The next prime is 2952775643339. The reversal of 2952775643328 is 8233465772592.

2952775643328 is a `hidden beast` number, since 2 + 9 + 527 + 7 + 56 + 4 + 33 + 28 = 666.

2952775643328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39044400 + ... + 39119952.

It is an arithmetic number, because the mean of its divisors is an integer number (29937516960).

Almost surely, 2^{2952775643328} is an apocalyptic number.

2952775643328 is a gapful number since it is divisible by the number (28) 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 2952775643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029502849280).

2952775643328 is an abundant number, since it is smaller than the sum of its proper divisors (7106230055232).

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

2952775643328 is an equidigital number, since it uses as much as digits as its factorization.

2952775643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75946 (or 75924 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 2952775643328 in words is "two trillion, nine hundred fifty-two billion, seven hundred seventy-five million, six hundred forty-three thousand, three hundred twenty-eight".