2072827705 has 24 divisors (see below), whose sum is σ = 2827169352. Its totient is φ = 1450123776.

The previous prime is 2072827703. The next prime is 2072827753. The reversal of 2072827705 is 5077282702.

2072827705 is digitally balanced in base 6, 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 4 ways, for example, as 393129 + 2072434576 = 627^2 + 45524^2 .

It is not a de Polignac number, because 2072827705 - 2¹ = 2072827703 is a prime.

It is a super-2 number, since 2×2072827705² = 8593229389231134050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2072827703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20704 + ... + 67633.

It is an arithmetic number, because the mean of its divisors is an integer number (117798723).

Almost surely, 2^2072827705 is an apocalyptic number.

It is an amenable number.

2072827705 is a deficient number, since it is larger than the sum of its proper divisors (754341647).

2072827705 is a wasteful number, since it uses less digits than its factorization.

2072827705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88393 (or 88374 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 2072827705 is about 45528.3176166219. The cubic root of 2072827705 is about 1275.0319520379.

The spelling of 2072827705 in words is "two billion, seventy-two million, eight hundred twenty-seven thousand, seven hundred five".