2264023204416 has 42 divisors (see below), whose sum is σ = 6489413735142. Its totient is φ = 754674401280.

The previous prime is 2264023204393. The next prime is 2264023204433. The reversal of 2264023204416 is 6144023204622.

2264023204416 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 232 + 0 + 4 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2238135681600 + 25887522816 = 1496040^2 + 160896^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1965297345 + ... + 1965298496.

Almost surely, 2^{2264023204416} is an apocalyptic number.

It is an amenable number.

2264023204416 is an abundant number, since it is smaller than the sum of its proper divisors (4225390530726).

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

2264023204416 is a wasteful number, since it uses less digits than its factorization.

2264023204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930595859 (or 3930595846 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2264023204416 in words is "two trillion, two hundred sixty-four billion, twenty-three million, two hundred four thousand, four hundred sixteen".