2816225280 has 416 divisors, whose sum is σ = 10945797120. Its totient is φ = 681246720.

The previous prime is 2816225227. The next prime is 2816225323. The reversal of 2816225280 is 825226182.

2816225280 is a `hidden beast` number, since 2 + 8 + 1 + 622 + 5 + 28 + 0 = 666.

It is a super-2 number, since 2×2816225280² = 15862249655422156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082329 + ... + 6082791.

Almost surely, 2^2816225280 is an apocalyptic number.

2816225280 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 2816225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472898560).

2816225280 is an abundant number, since it is smaller than the sum of its proper divisors (8129571840).

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

2816225280 is a wasteful number, since it uses less digits than its factorization.

2816225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2816225280 is about 53068.1192431011. The cubic root of 2816225280 is about 1412.1769901752.

The spelling of 2816225280 in words is "two billion, eight hundred sixteen million, two hundred twenty-five thousand, two hundred eighty".