2820735261 has 12 divisors (see below), whose sum is σ = 4173771420. Its totient is φ = 1834624320.

The previous prime is 2820735259. The next prime is 2820735271. The reversal of 2820735261 is 1625370282.

It can be written as a sum of positive squares in 2 ways, for example, as 1594404900 + 1226330361 = 39930^2 + 35019^2 .

It is not a de Polignac number, because 2820735261 - 2¹ = 2820735259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820735271) 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, 3821766 + ... + 3822503.

It is an arithmetic number, because the mean of its divisors is an integer number (347814285).

Almost surely, 2^2820735261 is an apocalyptic number.

It is an amenable number.

2820735261 is a deficient number, since it is larger than the sum of its proper divisors (1353036159).

2820735261 is a wasteful number, since it uses less digits than its factorization.

2820735261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644316 (or 7644313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2820735261 is about 53110.5946210358. The cubic root of 2820735261 is about 1412.9304212173.

The spelling of 2820735261 in words is "two billion, eight hundred twenty million, seven hundred thirty-five thousand, two hundred sixty-one".