2846389248 has 352 divisors, whose sum is σ = 9023831040. Its totient is φ = 895795200.

The previous prime is 2846389229. The next prime is 2846389261. The reversal of 2846389248 is 8429836482.

It is a super-3 number, since 3×2846389248³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2846389194 and 2846389203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69424108 + ... + 69424148.

Almost surely, 2^2846389248 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 2846389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511915520).

2846389248 is an abundant number, since it is smaller than the sum of its proper divisors (6177441792).

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

2846389248 is an frugal number, since it uses more digits than its factorization.

2846389248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2846389248 is about 53351.5627512447. The cubic root of 2846389248 is about 1417.2009346398.

It can be divided in two parts, 28463 and 89248, that added together give a palindrome (117711).

The spelling of 2846389248 in words is "two billion, eight hundred forty-six million, three hundred eighty-nine thousand, two hundred forty-eight".