22780237824 has 240 divisors, whose sum is σ = 69353444160. Its totient is φ = 7447265280.

The previous prime is 22780237819. The next prime is 22780237871. The reversal of 22780237824 is 42873208722.

22780237824 is a `hidden beast` number, since 2 + 278 + 0 + 2 + 378 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22780237824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8790769 + ... + 8793359.

It is an arithmetic number, because the mean of its divisors is an integer number (288972684).

Almost surely, 2^22780237824 is an apocalyptic number.

22780237824 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 22780237824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34676722080).

22780237824 is an abundant number, since it is smaller than the sum of its proper divisors (46573206336).

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

22780237824 is an equidigital number, since it uses as much as digits as its factorization.

22780237824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 22780237824 in words is "twenty-two billion, seven hundred eighty million, two hundred thirty-seven thousand, eight hundred twenty-four".