2952609875856 has 225 divisors, whose sum is σ = 8703765751681. Its totient is φ = 966325932288.

The previous prime is 2952609875827. The next prime is 2952609875869. The reversal of 2952609875856 is 6585789062592.

The square root of 2952609875856 is 1718316.

It is a perfect power (a square), and thus also a powerful number.

2952609875856 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 609 + 8 + 7 + 5 + 8 + 5 + 6 = 666.

2952609875856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2598917997456 + 353691878400 = 1612116^2 + 594720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3649702780 + ... + 3649703588.

Almost surely, 2^{2952609875856} is an apocalyptic number.

2952609875856 is the 1718316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952609875856

2952609875856 is an abundant number, since it is smaller than the sum of its proper divisors (5751155875825).

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

2952609875856 is an frugal number, since it uses more digits than its factorization.

2952609875856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 2952609875856 in words is "two trillion, nine hundred fifty-two billion, six hundred nine million, eight hundred seventy-five thousand, eight hundred fifty-six".