2838467424 has 192 divisors, whose sum is σ = 8542812096. Its totient is φ = 817496064.

The previous prime is 2838467419. The next prime is 2838467459. The reversal of 2838467424 is 4247648382.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7149594 + ... + 7149990.

It is an arithmetic number, because the mean of its divisors is an integer number (44493813).

Almost surely, 2^2838467424 is an apocalyptic number.

2838467424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838467424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271406048).

2838467424 is an abundant number, since it is smaller than the sum of its proper divisors (5704344672).

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

2838467424 is a wasteful number, since it uses less digits than its factorization.

2838467424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 2838467424 is about 53277.2692993926. The cubic root of 2838467424 is about 1415.8849694293.

The spelling of 2838467424 in words is "two billion, eight hundred thirty-eight million, four hundred sixty-seven thousand, four hundred twenty-four".