2842633472 has 108 divisors (see below), whose sum is σ = 6948537120. Its totient is φ = 1154055168.

The previous prime is 2842633471. The next prime is 2842633477. The reversal of 2842633472 is 2743362482.

It is a super-2 number, since 2×2842633472² = 16161130112269549568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842633471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232373 + ... + 244299.

Almost surely, 2^2842633472 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 2842633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474268560).

2842633472 is an abundant number, since it is smaller than the sum of its proper divisors (4105903648).

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

2842633472 is a wasteful number, since it uses less digits than its factorization.

2842633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11976 (or 11955 counting only the distinct ones).

The product of its digits is 387072, while the sum is 41.

The square root of 2842633472 is about 53316.3527634815. The cubic root of 2842633472 is about 1416.5773338148.

The spelling of 2842633472 in words is "two billion, eight hundred forty-two million, six hundred thirty-three thousand, four hundred seventy-two".