2260229664 has 432 divisors, whose sum is σ = 8012009376. Its totient is φ = 556174080.

The previous prime is 2260229663. The next prime is 2260229669. The reversal of 2260229664 is 4669220622.

It is not an unprimeable number, because it can be changed into a prime (2260229663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118959447 + ... + 118959465.

It is an arithmetic number, because the mean of its divisors is an integer number (18546318).

Almost surely, 2^2260229664 is an apocalyptic number.

2260229664 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 2260229664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006004688).

2260229664 is an abundant number, since it is smaller than the sum of its proper divisors (5751779712).

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

2260229664 is a wasteful number, since it uses less digits than its factorization.

2260229664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2260229664 is about 47541.8727439296. The cubic root of 2260229664 is about 1312.3535694417.

The spelling of 2260229664 in words is "two billion, two hundred sixty million, two hundred twenty-nine thousand, six hundred sixty-four".