2928222420480 has 800 divisors, whose sum is σ = 12040406078976. Its totient is φ = 666284507136.

The previous prime is 2928222420433. The next prime is 2928222420523. The reversal of 2928222420480 is 840242228292.

2928222420480 is a `hidden beast` number, since 2 + 92 + 82 + 2 + 2 + 4 + 2 + 0 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 329490597 + ... + 329499483.

Almost surely, 2^{2928222420480} is an apocalyptic number.

2928222420480 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 2928222420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6020203039488).

2928222420480 is an abundant number, since it is smaller than the sum of its proper divisors (9112183658496).

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

2928222420480 is an equidigital number, since it uses as much as digits as its factorization.

2928222420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9156 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2928222420480 in words is "two trillion, nine hundred twenty-eight billion, two hundred twenty-two million, four hundred twenty thousand, four hundred eighty".