2820216249 has 12 divisors (see below), whose sum is σ = 4074578196. Its totient is φ = 1879713792.

The previous prime is 2820216239. The next prime is 2820216251. The reversal of 2820216249 is 9426120282.

2820216249 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 21 + 624 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2642474025 + 177742224 = 51405^2 + 13332^2 .

It is not a de Polignac number, because 2820216249 - 2¹⁶ = 2820150713 is a prime.

It is a super-2 number, since 2×2820216249² = 15907239382247260002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2820216209) 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, 8529 + ... + 75585.

It is an arithmetic number, because the mean of its divisors is an integer number (339548183).

Almost surely, 2^2820216249 is an apocalyptic number.

It is an amenable number.

2820216249 is a deficient number, since it is larger than the sum of its proper divisors (1254361947).

2820216249 is a wasteful number, since it uses less digits than its factorization.

2820216249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71736 (or 71733 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2820216249 is about 53105.7082525033. The cubic root of 2820216249 is about 1412.8437567182.

The spelling of 2820216249 in words is "two billion, eight hundred twenty million, two hundred sixteen thousand, two hundred forty-nine".