2230420626720 has 1440 divisors, whose sum is σ = 9572791791024. Its totient is φ = 485461278720.

The previous prime is 2230420626689. The next prime is 2230420626727. The reversal of 2230420626720 is 276260240322.

2230420626720 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 4 + 2 + 0 + 626 + 7 + 20 = 666.

2230420626720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 663527543184 + 1566893083536 = 814572^2 + 1251756^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 (2230420626727) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 754283482 + ... + 754286438.

Almost surely, 2^{2230420626720} is an apocalyptic number.

2230420626720 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 2230420626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786395895512).

2230420626720 is an abundant number, since it is smaller than the sum of its proper divisors (7342371164304).

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

2230420626720 is a wasteful number, since it uses less digits than its factorization.

2230420626720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 2230420626720 in words is "two trillion, two hundred thirty billion, four hundred twenty million, six hundred twenty-six thousand, seven hundred twenty".