2230416720 has 480 divisors, whose sum is σ = 9091989504. Its totient is φ = 479001600.

The previous prime is 2230416703. The next prime is 2230416781. The reversal of 2230416720 is 276140322.

2230416720 is a `hidden beast` number, since 223 + 0 + 416 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8230185 + ... + 8230455.

Almost surely, 2^2230416720 is an apocalyptic number.

2230416720 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 2230416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545994752).

2230416720 is an abundant number, since it is smaller than the sum of its proper divisors (6861572784).

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

2230416720 is a wasteful number, since it uses less digits than its factorization.

2230416720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2230416720 is about 47227.2878747023. The cubic root of 2230416720 is about 1306.5579315090.

The spelling of 2230416720 in words is "two billion, two hundred thirty million, four hundred sixteen thousand, seven hundred twenty".