2824468721280 has 512 divisors, whose sum is σ = 10159982380800. Its totient is φ = 741479546880.

The previous prime is 2824468721251. The next prime is 2824468721281. The reversal of 2824468721280 is 821278644282.

It is a happy number.

2824468721280 is a `hidden beast` number, since 2 + 8 + 2 + 446 + 8 + 72 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2824468721281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 323494515 + ... + 323503245.

Almost surely, 2^{2824468721280} is an apocalyptic number.

2824468721280 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 2824468721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079991190400).

2824468721280 is an abundant number, since it is smaller than the sum of its proper divisors (7335513659520).

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

2824468721280 is a wasteful number, since it uses less digits than its factorization.

2824468721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9049 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 2824468721280 in words is "two trillion, eight hundred twenty-four billion, four hundred sixty-eight million, seven hundred twenty-one thousand, two hundred eighty".