2261664768 has 352 divisors, whose sum is σ = 7244218368. Its totient is φ = 619315200.

The previous prime is 2261664763. The next prime is 2261664781. The reversal of 2261664768 is 8674661622.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2261664761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17808321 + ... + 17808447.

Almost surely, 2^2261664768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622109184).

2261664768 is an abundant number, since it is smaller than the sum of its proper divisors (4982553600).

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

2261664768 is a wasteful number, since it uses less digits than its factorization.

2261664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 2261664768 is about 47556.9634017985. The cubic root of 2261664768 is about 1312.6312647310.

The spelling of 2261664768 in words is "two billion, two hundred sixty-one million, six hundred sixty-four thousand, seven hundred sixty-eight".