2230357680 has 200 divisors, whose sum is σ = 7773212304. Its totient is φ = 592704000.

The previous prime is 2230357663. The next prime is 2230357681. The reversal of 2230357680 is 867530322.

2230357680 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 3 + 576 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2230357681) 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 39 ways as a sum of consecutive naturals, for example, 3181330 + ... + 3182030.

Almost surely, 2^2230357680 is an apocalyptic number.

2230357680 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 2230357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886606152).

2230357680 is an abundant number, since it is smaller than the sum of its proper divisors (5542854624).

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

2230357680 is a wasteful number, since it uses less digits than its factorization.

2230357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2230357680 is about 47226.6628082061. The cubic root of 2230357680 is about 1306.5464030413.

The spelling of 2230357680 in words is "two billion, two hundred thirty million, three hundred fifty-seven thousand, six hundred eighty".