2264988245184 has 168 divisors, whose sum is σ = 7420514280608. Its totient is φ = 647062732800.

The previous prime is 2264988245183. The next prime is 2264988245207. The reversal of 2264988245184 is 4815428894622.

2264988245184 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 98 + 8 + 24 + 518 + 4 = 666.

2264988245184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2264988245183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39892464 + ... + 39949200.

Almost surely, 2^{2264988245184} is an apocalyptic number.

2264988245184 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 2264988245184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710257140304).

2264988245184 is an abundant number, since it is smaller than the sum of its proper divisors (5155526035424).

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

2264988245184 is a wasteful number, since it uses less digits than its factorization.

2264988245184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66663 (or 66650 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 2264988245184 in words is "two trillion, two hundred sixty-four billion, nine hundred eighty-eight million, two hundred forty-five thousand, one hundred eighty-four".