2820911716249 has 27 divisors (see below), whose sum is σ = 3121750240959. Its totient is φ = 2547148963920.

The previous prime is 2820911716223. The next prime is 2820911716261. The reversal of 2820911716249 is 9426171190282.

The square root of 2820911716249 is 1679557.

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

2820911716249 is digitally balanced in base 2, 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 only one way, i.e., 162929286025 + 2657982430224 = 403645^2 + 1630332^2 .

It is not a de Polignac number, because 2820911716249 - 2⁹ = 2820911715737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2820911716196 and 2820911716205.

It is not an unprimeable number, because it can be changed into a prime (2820911710249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3307047307 + ... + 3307048159.

Almost surely, 2^{2820911716249} is an apocalyptic number.

2820911716249 is the 1679557-th square number.

2820911716249 is the 839779-th centered octagonal number.

It is an amenable number.

2820911716249 is a deficient number, since it is larger than the sum of its proper divisors (300838524710).

2820911716249 is an frugal number, since it uses more digits than its factorization.

2820911716249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 2820911716249 in words is "two trillion, eight hundred twenty billion, nine hundred eleven million, seven hundred sixteen thousand, two hundred forty-nine".