2590164353 has 12 divisors (see below), whose sum is σ = 3190287492. Its totient is φ = 2089543680.

The previous prime is 2590164349. The next prime is 2590164361. The reversal of 2590164353 is 3534610952.

It can be written as a sum of positive squares in 2 ways, for example, as 946915984 + 1643248369 = 30772^2 + 40537^2 .

It is not a de Polignac number, because 2590164353 - 2² = 2590164349 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2590164253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1553888 + ... + 1555553.

It is an arithmetic number, because the mean of its divisors is an integer number (265857291).

Almost surely, 2^2590164353 is an apocalyptic number.

It is an amenable number.

2590164353 is a deficient number, since it is larger than the sum of its proper divisors (600123139).

2590164353 is a wasteful number, since it uses less digits than its factorization.

2590164353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109472 (or 3109465 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 2590164353 is about 50893.6572963665. The cubic root of 2590164353 is about 1373.3327411407.

The spelling of 2590164353 in words is "two billion, five hundred ninety million, one hundred sixty-four thousand, three hundred fifty-three".