2824841140 has 96 divisors (see below), whose sum is σ = 6910396416. Its totient is φ = 959629440.

The previous prime is 2824841137. The next prime is 2824841143. The reversal of 2824841140 is 411484282.

It is an interprime number because it is at equal distance from previous prime (2824841137) and next prime (2824841143).

It is a junction number, because it is equal to n+sod(n) for n = 2824841096 and 2824841105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824841143) 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, 211089 + ... + 224071.

It is an arithmetic number, because the mean of its divisors is an integer number (71983296).

Almost surely, 2^2824841140 is an apocalyptic number.

2824841140 is a gapful number since it is divisible by the number (20) 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 2824841140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455198208).

2824841140 is an abundant number, since it is smaller than the sum of its proper divisors (4085555276).

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

2824841140 is a wasteful number, since it uses less digits than its factorization.

2824841140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2824841140 is about 53149.2346134918. The cubic root of 2824841140 is about 1413.6156454904.

The spelling of 2824841140 in words is "two billion, eight hundred twenty-four million, eight hundred forty-one thousand, one hundred forty".