2820819492 has 120 divisors (see below), whose sum is σ = 7640075520. Its totient is φ = 906958080.

The previous prime is 2820819467. The next prime is 2820819527. The reversal of 2820819492 is 2949180282.

It is a happy number.

2820819492 is a `hidden beast` number, since 2 + 82 + 0 + 81 + 9 + 492 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1079884 + ... + 1082492.

It is an arithmetic number, because the mean of its divisors is an integer number (63667296).

Almost surely, 2^2820819492 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 2820819492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820037760).

2820819492 is an abundant number, since it is smaller than the sum of its proper divisors (4819256028).

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

2820819492 is a wasteful number, since it uses less digits than its factorization.

2820819492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2820819492 is about 53111.3875924928. The cubic root of 2820819492 is about 1412.9444850868.

The spelling of 2820819492 in words is "two billion, eight hundred twenty million, eight hundred nineteen thousand, four hundred ninety-two".