2820742272 has 256 divisors, whose sum is σ = 9037526400. Its totient is φ = 862617600.

The previous prime is 2820742247. The next prime is 2820742279. The reversal of 2820742272 is 2722470282.

2820742272 is a `hidden beast` number, since 28 + 207 + 422 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2820742279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408247 + ... + 2409417.

Almost surely, 2^2820742272 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 2820742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518763200).

2820742272 is an abundant number, since it is smaller than the sum of its proper divisors (6216784128).

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

2820742272 is a wasteful number, since it uses less digits than its factorization.

2820742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2820742272 is about 53110.6606247748. The cubic root of 2820742272 is about 1412.9315918397.

The spelling of 2820742272 in words is "two billion, eight hundred twenty million, seven hundred forty-two thousand, two hundred seventy-two".