2842083072 has 144 divisors (see below), whose sum is σ = 8632466080. Its totient is φ = 921673728.

The previous prime is 2842083053. The next prime is 2842083133. The reversal of 2842083072 is 2703802482.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250188 + ... + 261300.

Almost surely, 2^2842083072 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 2842083072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316233040).

2842083072 is an abundant number, since it is smaller than the sum of its proper divisors (5790383008).

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

2842083072 is a wasteful number, since it uses less digits than its factorization.

2842083072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2842083072 is about 53311.1908702104. The cubic root of 2842083072 is about 1416.4859004662.

The spelling of 2842083072 in words is "two billion, eight hundred forty-two million, eighty-three thousand, seventy-two".