2628510361 has 9 divisors (see below), whose sum is σ = 2652985749. Its totient is φ = 2604260124.

The previous prime is 2628510347. The next prime is 2628510371. The reversal of 2628510361 is 1630158262.

The square root of 2628510361 is 51269.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2628510361 - 2¹¹ = 2628508313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2628510371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8561770 + ... + 8562076.

Almost surely, 2^2628510361 is an apocalyptic number.

2628510361 is the 51269-th square number.

2628510361 is the 25635-th centered octagonal number.

It is an amenable number.

2628510361 is a deficient number, since it is larger than the sum of its proper divisors (24475388).

2628510361 is an frugal number, since it uses more digits than its factorization.

2628510361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The cubic root of 2628510361 is about 1380.0767234876.

The spelling of 2628510361 in words is "two billion, six hundred twenty-eight million, five hundred ten thousand, three hundred sixty-one".