2875728264192 has 1056 divisors, whose sum is σ = 10271283975680. Its totient is φ = 758869917696.

The previous prime is 2875728264169. The next prime is 2875728264217. The reversal of 2875728264192 is 2914628275782.

2875728264192 is a `hidden beast` number, since 2 + 8 + 75 + 72 + 82 + 6 + 419 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29646683088 + ... + 29646683184.

Almost surely, 2^{2875728264192} 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 2875728264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135641987840).

2875728264192 is an abundant number, since it is smaller than the sum of its proper divisors (7395555711488).

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

2875728264192 is an equidigital number, since it uses as much as digits as its factorization.

2875728264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 195 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 2875728264192 in words is "two trillion, eight hundred seventy-five billion, seven hundred twenty-eight million, two hundred sixty-four thousand, one hundred ninety-two".