2820000919 has 16 divisors (see below), whose sum is σ = 3251426400. Its totient is φ = 2427715584.

The previous prime is 2820000907. The next prime is 2820000949. The reversal of 2820000919 is 9190000282.

It is a 18-Lehmer number, since φ(2820000919) divides (2820000919-1)¹⁸.

It is a cyclic number.

It is not a de Polignac number, because 2820000919 - 2¹³ = 2819992727 is a prime.

It is a super-2 number, since 2×2820000919² = 15904810366321689122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820000949) 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, 141162 + ... + 159895.

It is an arithmetic number, because the mean of its divisors is an integer number (203214150).

Almost surely, 2^2820000919 is an apocalyptic number.

2820000919 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2820000919 is a deficient number, since it is larger than the sum of its proper divisors (431425481).

2820000919 is a wasteful number, since it uses less digits than its factorization.

2820000919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301122.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 2820000919 is about 53103.6808422919. The cubic root of 2820000919 is about 1412.8077978458.

The spelling of 2820000919 in words is "two billion, eight hundred twenty million, nine hundred nineteen", and thus it is an aban number.