2220825600 has 924 divisors, whose sum is σ = 9987624144. Its totient is φ = 477757440.

The previous prime is 2220825599. The next prime is 2220825631. The reversal of 2220825600 is 65280222.

2220825600 is a `hidden beast` number, since 2 + 2 + 20 + 82 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636792 + ... + 130636808.

Almost surely, 2^2220825600 is an apocalyptic number.

2220825600 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 2220825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993812072).

2220825600 is an abundant number, since it is smaller than the sum of its proper divisors (7766798544).

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

2220825600 is an equidigital number, since it uses as much as digits as its factorization.

2220825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2220825600 is about 47125.6363352263. The cubic root of 2220825600 is about 1304.6824435412.

The spelling of 2220825600 in words is "two billion, two hundred twenty million, eight hundred twenty-five thousand, six hundred".