2230106464768 has 480 divisors, whose sum is σ = 5701416336000. Its totient is φ = 863573114880.

The previous prime is 2230106464741. The next prime is 2230106464799. The reversal of 2230106464768 is 8674646010322.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4469150983 + ... + 4469151481.

It is an arithmetic number, because the mean of its divisors is an integer number (11877950700).

Almost surely, 2^{2230106464768} is an apocalyptic number.

2230106464768 is a gapful number since it is divisible by the number (28) 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 2230106464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850708168000).

2230106464768 is an abundant number, since it is smaller than the sum of its proper divisors (3471309871232).

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

2230106464768 is a wasteful number, since it uses less digits than its factorization.

2230106464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 2230106464768 in words is "two trillion, two hundred thirty billion, one hundred six million, four hundred sixty-four thousand, seven hundred sixty-eight".