2820207248 has 80 divisors (see below), whose sum is σ = 5905912176. Its totient is φ = 1299824640.

The previous prime is 2820207241. The next prime is 2820207277. The reversal of 2820207248 is 8427020282.

It can be written as a sum of positive squares in 8 ways, for example, as 252555664 + 2567651584 = 15892^2 + 50672^2 .

It is not an unprimeable number, because it can be changed into a prime (2820207241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3434678 + ... + 3435498.

Almost surely, 2^2820207248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820207248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952956088).

2820207248 is an abundant number, since it is smaller than the sum of its proper divisors (3085704928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2820207248 is a wasteful number, since it uses less digits than its factorization.

2820207248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 2820207248 is about 53105.6235063670. The cubic root of 2820207248 is about 1412.8422536396.

The spelling of 2820207248 in words is "two billion, eight hundred twenty million, two hundred seven thousand, two hundred forty-eight".