2230534500480 has 1536 divisors, whose sum is σ = 9400310599680. Its totient is φ = 480124108800.

The previous prime is 2230534500463. The next prime is 2230534500577. The reversal of 2230534500480 is 840054350322.

2230534500480 is a `hidden beast` number, since 2 + 2 + 30 + 534 + 50 + 0 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2514694597 + ... + 2514695483.

It is an arithmetic number, because the mean of its divisors is an integer number (6119993880).

Almost surely, 2^{2230534500480} is an apocalyptic number.

2230534500480 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 2230534500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700155299840).

2230534500480 is an abundant number, since it is smaller than the sum of its proper divisors (7169776099200).

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

2230534500480 is a wasteful number, since it uses less digits than its factorization.

2230534500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2230534500480 in words is "two trillion, two hundred thirty billion, five hundred thirty-four million, five hundred thousand, four hundred eighty".