2805137119872 has 96 divisors (see below), whose sum is σ = 8075901468180. Its totient is φ = 934602375168.

The previous prime is 2805137119843. The next prime is 2805137119901. The reversal of 2805137119872 is 2789117315082.

2805137119872 is a `hidden beast` number, since 2 + 8 + 0 + 513 + 7 + 119 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2805137119843) and next prime (2805137119901).

It can be written as a sum of positive squares in 2 ways, for example, as 1675202135616 + 1129934984256 = 1294296^2 + 1062984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2805137119872² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1857978 + ... + 3010374.

Almost surely, 2^{2805137119872} 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 2805137119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037950734090).

2805137119872 is an abundant number, since it is smaller than the sum of its proper divisors (5270764348308).

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

2805137119872 is a wasteful number, since it uses less digits than its factorization.

2805137119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154530 (or 1154515 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 2805137119872 in words is "two trillion, eight hundred five billion, one hundred thirty-seven million, one hundred nineteen thousand, eight hundred seventy-two".