2082064601 has 12 divisors (see below), whose sum is σ = 2152908900. Its totient is φ = 2013328800.

The previous prime is 2082064493. The next prime is 2082064639. The reversal of 2082064601 is 1064602802.

It can be written as a sum of positive squares in 2 ways, for example, as 1431865600 + 650199001 = 37840^2 + 25499^2 .

It is not a de Polignac number, because 2082064601 - 2¹⁴ = 2082048217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2082064661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181175 + ... + 192323.

It is an arithmetic number, because the mean of its divisors is an integer number (179409075).

Almost surely, 2^2082064601 is an apocalyptic number.

It is an amenable number.

2082064601 is a deficient number, since it is larger than the sum of its proper divisors (70844299).

2082064601 is a wasteful number, since it uses less digits than its factorization.

2082064601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11336 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 2082064601 is about 45629.6460757696. The cubic root of 2082064601 is about 1276.9230702604.

The spelling of 2082064601 in words is "two billion, eighty-two million, sixty-four thousand, six hundred one".