2264641330320 has 120 divisors (see below), whose sum is σ = 7629413099256. Its totient is φ = 601999233024.

The previous prime is 2264641330291. The next prime is 2264641330331. The reversal of 2264641330320 is 230331464622.

2264641330320 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 641 + 3 + 3 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107549890704 + 2157091439616 = 327948^2 + 1468704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4732857 + ... + 5189336.

Almost surely, 2^{2264641330320} is an apocalyptic number.

2264641330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264641330320 is an abundant number, since it is smaller than the sum of its proper divisors (5364771768936).

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

2264641330320 is a wasteful number, since it uses less digits than its factorization.

2264641330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9922529 (or 9922520 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2264641330320 its reverse (230331464622), we get a palindrome (2494972794942).

The spelling of 2264641330320 in words is "two trillion, two hundred sixty-four billion, six hundred forty-one million, three hundred thirty thousand, three hundred twenty".