2284130664 has 160 divisors (see below), whose sum is σ = 6609141000. Its totient is φ = 736542720.

The previous prime is 2284130647. The next prime is 2284130669. The reversal of 2284130664 is 4660314822.

It can be written as a sum of positive squares in 4 ways, for example, as 1676902500 + 607228164 = 40950^2 + 24642^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2284130669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3958344 + ... + 3958920.

Almost surely, 2^2284130664 is an apocalyptic number.

2284130664 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 2284130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304570500).

2284130664 is an abundant number, since it is smaller than the sum of its proper divisors (4325010336).

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

2284130664 is a wasteful number, since it uses less digits than its factorization.

2284130664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2284130664 is about 47792.5795913968. The cubic root of 2284130664 is about 1316.9632256065.

The spelling of 2284130664 in words is "two billion, two hundred eighty-four million, one hundred thirty thousand, six hundred sixty-four".