2084784072 has 128 divisors (see below), whose sum is σ = 6128559360. Its totient is φ = 578580480.

The previous prime is 2084784047. The next prime is 2084784077. The reversal of 2084784072 is 2704874802.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2084784077) 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, 2017668 + ... + 2018700.

It is an arithmetic number, because the mean of its divisors is an integer number (47879370).

Almost surely, 2^2084784072 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 2084784072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064279680).

2084784072 is an abundant number, since it is smaller than the sum of its proper divisors (4043775288).

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

2084784072 is a wasteful number, since it uses less digits than its factorization.

2084784072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2084784072 is about 45659.4357389576. The cubic root of 2084784072 is about 1277.4787757959.

The spelling of 2084784072 in words is "two billion, eighty-four million, seven hundred eighty-four thousand, seventy-two".