2952875464812 has 1008 divisors, whose sum is σ = 10550300544000. Its totient is φ = 713727624960.

The previous prime is 2952875464787. The next prime is 2952875464813. The reversal of 2952875464812 is 2184645782592.

2952875464812 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 8 + 7 + 546 + 4 + 81 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2952875464812.

It is not an unprimeable number, because it can be changed into a prime (2952875464813) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1094061439 + ... + 1094064137.

It is an arithmetic number, because the mean of its divisors is an integer number (10466568000).

Almost surely, 2^{2952875464812} 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 2952875464812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275150272000).

2952875464812 is an abundant number, since it is smaller than the sum of its proper divisors (7597425079188).

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

2952875464812 is a wasteful number, since it uses less digits than its factorization.

2952875464812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2774 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 2952875464812 in words is "two trillion, nine hundred fifty-two billion, eight hundred seventy-five million, four hundred sixty-four thousand, eight hundred twelve".