2824419780 has 960 divisors, whose sum is σ = 12294374400. Its totient is φ = 536481792.

The previous prime is 2824419779. The next prime is 2824419781. The reversal of 2824419780 is 879144282.

It is an interprime number because it is at equal distance from previous prime (2824419779) and next prime (2824419781).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824419781) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 122800849 + ... + 122800871.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2^2824419780 is an apocalyptic number.

2824419780 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 2824419780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

2824419780 is an abundant number, since it is smaller than the sum of its proper divisors (9469954620).

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

2824419780 is a wasteful number, since it uses less digits than its factorization.

2824419780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2824419780 is about 53145.2705327577. The cubic root of 2824419780 is about 1413.5453559087.

The spelling of 2824419780 in words is "two billion, eight hundred twenty-four million, four hundred nineteen thousand, seven hundred eighty".