2095875464256 has 336 divisors, whose sum is σ = 6972479953920. Its totient is φ = 589529041920.

The previous prime is 2095875464237. The next prime is 2095875464279. The reversal of 2095875464256 is 6524645785902.

2095875464256 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 87 + 546 + 4 + 2 + 5 + 6 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 2095875464193 and 2095875464202.

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, 211550055 + ... + 211559961.

Almost surely, 2^{2095875464256} 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 2095875464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486239976960).

2095875464256 is an abundant number, since it is smaller than the sum of its proper divisors (4876604489664).

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

2095875464256 is a wasteful number, since it uses less digits than its factorization.

2095875464256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10742 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 2095875464256 in words is "two trillion, ninety-five billion, eight hundred seventy-five million, four hundred sixty-four thousand, two hundred fifty-six".