2824367640 has 64 divisors (see below), whose sum is σ = 8502127200. Its totient is φ = 750584832.

The previous prime is 2824367633. The next prime is 2824367669. The reversal of 2824367640 is 467634282.

It is a junction number, because it is equal to n+sod(n) for n = 2824367592 and 2824367601.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5005 + ... + 75324.

Almost surely, 2^2824367640 is an apocalyptic number.

2824367640 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 2824367640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251063600).

2824367640 is an abundant number, since it is smaller than the sum of its proper divisors (5677759560).

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

2824367640 is a wasteful number, since it uses less digits than its factorization.

2824367640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80636 (or 80632 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2824367640 is about 53144.7799882547. The cubic root of 2824367640 is about 1413.5366576374.

The spelling of 2824367640 in words is "two billion, eight hundred twenty-four million, three hundred sixty-seven thousand, six hundred forty".