2264461666500 has 192 divisors, whose sum is σ = 7223438686464. Its totient is φ = 546681600000.

The previous prime is 2264461666477. The next prime is 2264461666549. The reversal of 2264461666500 is 56661644622.

2264461666500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2264461666500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3691770 + ... + 4261230.

It is an arithmetic number, because the mean of its divisors is an integer number (37622076492).

Almost surely, 2^{2264461666500} is an apocalyptic number.

2264461666500 is a gapful number since it is divisible by the number (20) 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 2264461666500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611719343232).

2264461666500 is an abundant number, since it is smaller than the sum of its proper divisors (4958977019964).

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

2264461666500 is a wasteful number, since it uses less digits than its factorization.

2264461666500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569735 (or 569723 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 2264461666500 in words is "two trillion, two hundred sixty-four billion, four hundred sixty-one million, six hundred sixty-six thousand, five hundred".