2225335680 has 384 divisors, whose sum is σ = 8186724000. Its totient is φ = 577290240.

The previous prime is 2225335669. The next prime is 2225335681. The reversal of 2225335680 is 865335222.

2225335680 is a `hidden beast` number, since 2 + 225 + 3 + 356 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225335681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376146 + ... + 6376494.

Almost surely, 2^2225335680 is an apocalyptic number.

2225335680 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 2225335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093362000).

2225335680 is an abundant number, since it is smaller than the sum of its proper divisors (5961388320).

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

2225335680 is an equidigital number, since it uses as much as digits as its factorization.

2225335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2225335680 is about 47173.4637269726. The cubic root of 2225335680 is about 1305.5650347470.

The spelling of 2225335680 in words is "two billion, two hundred twenty-five million, three hundred thirty-five thousand, six hundred eighty".