2820733578 has 128 divisors (see below), whose sum is σ = 7205587200. Its totient is φ = 810694656.

The previous prime is 2820733577. The next prime is 2820733579. The reversal of 2820733578 is 8753370282.

2820733578 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 73 + 3 + 578 = 666.

It is an interprime number because it is at equal distance from previous prime (2820733577) and next prime (2820733579).

It is not an unprimeable number, because it can be changed into a prime (2820733577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972226 + ... + 975122.

It is an arithmetic number, because the mean of its divisors is an integer number (56293650).

Almost surely, 2^2820733578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820733578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602793600).

2820733578 is an abundant number, since it is smaller than the sum of its proper divisors (4384853622).

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

2820733578 is a wasteful number, since it uses less digits than its factorization.

2820733578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2820733578 is about 53110.5787767371. The cubic root of 2820733578 is about 1412.9301402076.

The spelling of 2820733578 in words is "two billion, eight hundred twenty million, seven hundred thirty-three thousand, five hundred seventy-eight".