2820442284 has 72 divisors (see below), whose sum is σ = 7794888192. Its totient is φ = 852778080.

The previous prime is 2820442243. The next prime is 2820442291. The reversal of 2820442284 is 4822440282.

It is a happy number.

2820442284 is a `hidden beast` number, since 28 + 204 + 422 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175657 + ... + 191039.

It is an arithmetic number, because the mean of its divisors is an integer number (108262336).

Almost surely, 2^2820442284 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 2820442284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897444096).

2820442284 is an abundant number, since it is smaller than the sum of its proper divisors (4974445908).

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

2820442284 is a wasteful number, since it uses less digits than its factorization.

2820442284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15867 (or 15862 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 2820442284 is about 53107.8363709161. The cubic root of 2820442284 is about 1412.8815012951.

The spelling of 2820442284 in words is "two billion, eight hundred twenty million, four hundred forty-two thousand, two hundred eighty-four".