2230661664 has 576 divisors, whose sum is σ = 8598949632. Its totient is φ = 530841600.

The previous prime is 2230661651. The next prime is 2230661707. The reversal of 2230661664 is 4661660322.

2230661664 is a `hidden beast` number, since 2 + 2 + 30 + 6 + 616 + 6 + 4 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22996464 + ... + 22996560.

It is an arithmetic number, because the mean of its divisors is an integer number (14928732).

Almost surely, 2^2230661664 is an apocalyptic number.

2230661664 is a gapful number since it is divisible by the number (24) 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 2230661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299474816).

2230661664 is an abundant number, since it is smaller than the sum of its proper divisors (6368287968).

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

2230661664 is a wasteful number, since it uses less digits than its factorization.

2230661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2230661664 is about 47229.8810500302. The cubic root of 2230661664 is about 1306.6057584178.

The spelling of 2230661664 in words is "two billion, two hundred thirty million, six hundred sixty-one thousand, six hundred sixty-four".